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Finding the Fourth Proportional to 8,527.12, 12,769.31 and 5,397.68

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Solution

The fourth proportional to 8,527.12, 12,769.31 and 5,397.68 is: 8,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.12 : 12,769.31 = 5,397.68 : x
  2. Step 2: Convert to fraction form
    8,527.12/12,769.31 = 5,397.68/x
  3. Step 3: Cross multiply
    8,527.12x = 12,769.31 × 5,397.68
  4. Step 4: Simplify right side
    8,527.12x = 68,924,694.62
  5. Step 5: Solve for x
    x = 68,924,694.62/8,527.12
  6. Step 6: Final answer
    x = 8,083.00

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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.