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Finding the Fourth Proportional to 8,562.04, 12,843.50 and 8,094.53

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Solution

The fourth proportional to 8,562.04, 12,843.50 and 8,094.53 is: 12,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.04 : 12,843.50 = 8,094.53 : x
  2. Step 2: Convert to fraction form
    8,562.04/12,843.50 = 8,094.53/x
  3. Step 3: Cross multiply
    8,562.04x = 12,843.50 × 8,094.53
  4. Step 4: Simplify right side
    8,562.04x = 103,962,087.69
  5. Step 5: Solve for x
    x = 103,962,087.69/8,562.04
  6. Step 6: Final answer
    x = 12,142.21

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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.