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Finding the Fourth Proportional to 8,143.26, 12,214.08 and 5,527.56

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Solution

The fourth proportional to 8,143.26, 12,214.08 and 5,527.56 is: 8,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.26 : 12,214.08 = 5,527.56 : x
  2. Step 2: Convert to fraction form
    8,143.26/12,214.08 = 5,527.56/x
  3. Step 3: Cross multiply
    8,143.26x = 12,214.08 × 5,527.56
  4. Step 4: Simplify right side
    8,143.26x = 67,514,060.04
  5. Step 5: Solve for x
    x = 67,514,060.04/8,143.26
  6. Step 6: Final answer
    x = 8,290.79

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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.