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Finding the Fourth Proportional to 8,371.60, 11,553.88 and 4,834.14

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Solution

The fourth proportional to 8,371.60, 11,553.88 and 4,834.14 is: 6,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.60 : 11,553.88 = 4,834.14 : x
  2. Step 2: Convert to fraction form
    8,371.60/11,553.88 = 4,834.14/x
  3. Step 3: Cross multiply
    8,371.60x = 11,553.88 × 4,834.14
  4. Step 4: Simplify right side
    8,371.60x = 55,853,073.46
  5. Step 5: Solve for x
    x = 55,853,073.46/8,371.60
  6. Step 6: Final answer
    x = 6,671.73

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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.