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Finding the Fourth Proportional to 10,964.80, 16,448.80 and 3,465.82

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Solution

The fourth proportional to 10,964.80, 16,448.80 and 3,465.82 is: 5,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.80 : 16,448.80 = 3,465.82 : x
  2. Step 2: Convert to fraction form
    10,964.80/16,448.80 = 3,465.82/x
  3. Step 3: Cross multiply
    10,964.80x = 16,448.80 × 3,465.82
  4. Step 4: Simplify right side
    10,964.80x = 57,008,580.02
  5. Step 5: Solve for x
    x = 57,008,580.02/10,964.80
  6. Step 6: Final answer
    x = 5,199.24

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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.