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Finding the Fourth Proportional to 10,537.67, 15,807.31 and 3,963.71

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Solution

The fourth proportional to 10,537.67, 15,807.31 and 3,963.71 is: 5,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.67 : 15,807.31 = 3,963.71 : x
  2. Step 2: Convert to fraction form
    10,537.67/15,807.31 = 3,963.71/x
  3. Step 3: Cross multiply
    10,537.67x = 15,807.31 × 3,963.71
  4. Step 4: Simplify right side
    10,537.67x = 62,655,503.77
  5. Step 5: Solve for x
    x = 62,655,503.77/10,537.67
  6. Step 6: Final answer
    x = 5,945.86

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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.