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Finding the Fourth Proportional to 10,522.16, 15,785.97 and 8,651.13

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Solution

The fourth proportional to 10,522.16, 15,785.97 and 8,651.13 is: 12,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.16 : 15,785.97 = 8,651.13 : x
  2. Step 2: Convert to fraction form
    10,522.16/15,785.97 = 8,651.13/x
  3. Step 3: Cross multiply
    10,522.16x = 15,785.97 × 8,651.13
  4. Step 4: Simplify right side
    10,522.16x = 136,566,478.65
  5. Step 5: Solve for x
    x = 136,566,478.65/10,522.16
  6. Step 6: Final answer
    x = 12,978.94

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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.