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Finding the Fourth Proportional to 8,562.66, 12,820.91 and 5,593.76

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Solution

The fourth proportional to 8,562.66, 12,820.91 and 5,593.76 is: 8,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.66 : 12,820.91 = 5,593.76 : x
  2. Step 2: Convert to fraction form
    8,562.66/12,820.91 = 5,593.76/x
  3. Step 3: Cross multiply
    8,562.66x = 12,820.91 × 5,593.76
  4. Step 4: Simplify right side
    8,562.66x = 71,717,043.40
  5. Step 5: Solve for x
    x = 71,717,043.40/8,562.66
  6. Step 6: Final answer
    x = 8,375.56

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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.