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Finding the Fourth Proportional to 8,527.49, 11,764.81 and 5,167.88

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Solution

The fourth proportional to 8,527.49, 11,764.81 and 5,167.88 is: 7,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.49 : 11,764.81 = 5,167.88 : x
  2. Step 2: Convert to fraction form
    8,527.49/11,764.81 = 5,167.88/x
  3. Step 3: Cross multiply
    8,527.49x = 11,764.81 × 5,167.88
  4. Step 4: Simplify right side
    8,527.49x = 60,799,126.30
  5. Step 5: Solve for x
    x = 60,799,126.30/8,527.49
  6. Step 6: Final answer
    x = 7,129.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.