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Finding the Fourth Proportional to 10,237.68, 15,338.52 and 4,965.48

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Solution

The fourth proportional to 10,237.68, 15,338.52 and 4,965.48 is: 7,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.68 : 15,338.52 = 4,965.48 : x
  2. Step 2: Convert to fraction form
    10,237.68/15,338.52 = 4,965.48/x
  3. Step 3: Cross multiply
    10,237.68x = 15,338.52 × 4,965.48
  4. Step 4: Simplify right side
    10,237.68x = 76,163,114.29
  5. Step 5: Solve for x
    x = 76,163,114.29/10,237.68
  6. Step 6: Final answer
    x = 7,439.49

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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.