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Finding the Fourth Proportional to 8,651.31, 12,981.06 and 5,148.24

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Solution

The fourth proportional to 8,651.31, 12,981.06 and 5,148.24 is: 7,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.31 : 12,981.06 = 5,148.24 : x
  2. Step 2: Convert to fraction form
    8,651.31/12,981.06 = 5,148.24/x
  3. Step 3: Cross multiply
    8,651.31x = 12,981.06 × 5,148.24
  4. Step 4: Simplify right side
    8,651.31x = 66,829,612.33
  5. Step 5: Solve for x
    x = 66,829,612.33/8,651.31
  6. Step 6: Final answer
    x = 7,724.80

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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.