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Finding the Fourth Proportional to 8,652.26, 12,970.10 and 5,523.44

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Solution

The fourth proportional to 8,652.26, 12,970.10 and 5,523.44 is: 8,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.26 : 12,970.10 = 5,523.44 : x
  2. Step 2: Convert to fraction form
    8,652.26/12,970.10 = 5,523.44/x
  3. Step 3: Cross multiply
    8,652.26x = 12,970.10 × 5,523.44
  4. Step 4: Simplify right side
    8,652.26x = 71,639,569.14
  5. Step 5: Solve for x
    x = 71,639,569.14/8,652.26
  6. Step 6: Final answer
    x = 8,279.87

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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.