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Finding the Fourth Proportional to 8,182.26, 12,251.16 and 6,417.90

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Solution

The fourth proportional to 8,182.26, 12,251.16 and 6,417.90 is: 9,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.26 : 12,251.16 = 6,417.90 : x
  2. Step 2: Convert to fraction form
    8,182.26/12,251.16 = 6,417.90/x
  3. Step 3: Cross multiply
    8,182.26x = 12,251.16 × 6,417.90
  4. Step 4: Simplify right side
    8,182.26x = 78,626,719.76
  5. Step 5: Solve for x
    x = 78,626,719.76/8,182.26
  6. Step 6: Final answer
    x = 9,609.41

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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.