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Finding the Fourth Proportional to 8,616.90, 12,892.70 and 5,108.78

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Solution

The fourth proportional to 8,616.90, 12,892.70 and 5,108.78 is: 7,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.90 : 12,892.70 = 5,108.78 : x
  2. Step 2: Convert to fraction form
    8,616.90/12,892.70 = 5,108.78/x
  3. Step 3: Cross multiply
    8,616.90x = 12,892.70 × 5,108.78
  4. Step 4: Simplify right side
    8,616.90x = 65,865,967.91
  5. Step 5: Solve for x
    x = 65,865,967.91/8,616.90
  6. Step 6: Final answer
    x = 7,643.81

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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.