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Finding the Fourth Proportional to 8,562.40, 12,821.68 and 5,926.26

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Solution

The fourth proportional to 8,562.40, 12,821.68 and 5,926.26 is: 8,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.40 : 12,821.68 = 5,926.26 : x
  2. Step 2: Convert to fraction form
    8,562.40/12,821.68 = 5,926.26/x
  3. Step 3: Cross multiply
    8,562.40x = 12,821.68 × 5,926.26
  4. Step 4: Simplify right side
    8,562.40x = 75,984,609.32
  5. Step 5: Solve for x
    x = 75,984,609.32/8,562.40
  6. Step 6: Final answer
    x = 8,874.22

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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.