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Finding the Fourth Proportional to 10,537.55, 14,542.17 and 5,757.96

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Solution

The fourth proportional to 10,537.55, 14,542.17 and 5,757.96 is: 7,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.55 : 14,542.17 = 5,757.96 : x
  2. Step 2: Convert to fraction form
    10,537.55/14,542.17 = 5,757.96/x
  3. Step 3: Cross multiply
    10,537.55x = 14,542.17 × 5,757.96
  4. Step 4: Simplify right side
    10,537.55x = 83,733,233.17
  5. Step 5: Solve for x
    x = 83,733,233.17/10,537.55
  6. Step 6: Final answer
    x = 7,946.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.