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Finding the Fourth Proportional to 8,462.04, 12,691.26 and 5,989.80

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Solution

The fourth proportional to 8,462.04, 12,691.26 and 5,989.80 is: 8,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.04 : 12,691.26 = 5,989.80 : x
  2. Step 2: Convert to fraction form
    8,462.04/12,691.26 = 5,989.80/x
  3. Step 3: Cross multiply
    8,462.04x = 12,691.26 × 5,989.80
  4. Step 4: Simplify right side
    8,462.04x = 76,018,109.15
  5. Step 5: Solve for x
    x = 76,018,109.15/8,462.04
  6. Step 6: Final answer
    x = 8,983.43

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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.