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Finding the Fourth Proportional to 8,339.31, 12,515.12 and 6,715.46

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Solution

The fourth proportional to 8,339.31, 12,515.12 and 6,715.46 is: 10,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.31 : 12,515.12 = 6,715.46 : x
  2. Step 2: Convert to fraction form
    8,339.31/12,515.12 = 6,715.46/x
  3. Step 3: Cross multiply
    8,339.31x = 12,515.12 × 6,715.46
  4. Step 4: Simplify right side
    8,339.31x = 84,044,785.47
  5. Step 5: Solve for x
    x = 84,044,785.47/8,339.31
  6. Step 6: Final answer
    x = 10,078.15

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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.