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Finding the Fourth Proportional to 10,506.60, 15,761.16 and 4,265.28

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Solution

The fourth proportional to 10,506.60, 15,761.16 and 4,265.28 is: 6,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.60 : 15,761.16 = 4,265.28 : x
  2. Step 2: Convert to fraction form
    10,506.60/15,761.16 = 4,265.28/x
  3. Step 3: Cross multiply
    10,506.60x = 15,761.16 × 4,265.28
  4. Step 4: Simplify right side
    10,506.60x = 67,225,760.52
  5. Step 5: Solve for x
    x = 67,225,760.52/10,506.60
  6. Step 6: Final answer
    x = 6,398.43

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