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Finding the Fourth Proportional to 10,646,338.80, 15,973,444.80 and 3,458,107.20

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Solution

The fourth proportional to 10,646,338.80, 15,973,444.80 and 3,458,107.20 is: 5,188,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646,338.80 : 15,973,444.80 = 3,458,107.20 : x
  2. Step 2: Convert to fraction form
    10,646,338.80/15,973,444.80 = 3,458,107.20/x
  3. Step 3: Cross multiply
    10,646,338.80x = 15,973,444.80 × 3,458,107.20
  4. Step 4: Simplify right side
    10,646,338.80x = 55,237,884,471,682.56
  5. Step 5: Solve for x
    x = 55,237,884,471,682.56/10,646,338.80
  6. Step 6: Final answer
    x = 5,188,439.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.