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Finding the Fourth Proportional to 8,002.60, 12,003.95 and 5,246.71

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Solution

The fourth proportional to 8,002.60, 12,003.95 and 5,246.71 is: 7,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.60 : 12,003.95 = 5,246.71 : x
  2. Step 2: Convert to fraction form
    8,002.60/12,003.95 = 5,246.71/x
  3. Step 3: Cross multiply
    8,002.60x = 12,003.95 × 5,246.71
  4. Step 4: Simplify right side
    8,002.60x = 62,981,227.61
  5. Step 5: Solve for x
    x = 62,981,227.61/8,002.60
  6. Step 6: Final answer
    x = 7,870.10

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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.