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Finding the Fourth Proportional to 10,537.66, 14,542.03 and 5,757.70

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Solution

The fourth proportional to 10,537.66, 14,542.03 and 5,757.70 is: 7,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.66 : 14,542.03 = 5,757.70 : x
  2. Step 2: Convert to fraction form
    10,537.66/14,542.03 = 5,757.70/x
  3. Step 3: Cross multiply
    10,537.66x = 14,542.03 × 5,757.70
  4. Step 4: Simplify right side
    10,537.66x = 83,728,646.13
  5. Step 5: Solve for x
    x = 83,728,646.13/10,537.66
  6. Step 6: Final answer
    x = 7,945.66

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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.