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Finding the Fourth Proportional to 10,123.71, 13,972.10 and 5,874.86

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Solution

The fourth proportional to 10,123.71, 13,972.10 and 5,874.86 is: 8,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.71 : 13,972.10 = 5,874.86 : x
  2. Step 2: Convert to fraction form
    10,123.71/13,972.10 = 5,874.86/x
  3. Step 3: Cross multiply
    10,123.71x = 13,972.10 × 5,874.86
  4. Step 4: Simplify right side
    10,123.71x = 82,084,032.17
  5. Step 5: Solve for x
    x = 82,084,032.17/10,123.71
  6. Step 6: Final answer
    x = 8,108.10

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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.