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Finding the Fourth Proportional to 8,562.93, 12,839.53 and 5,102.61

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Solution

The fourth proportional to 8,562.93, 12,839.53 and 5,102.61 is: 7,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.93 : 12,839.53 = 5,102.61 : x
  2. Step 2: Convert to fraction form
    8,562.93/12,839.53 = 5,102.61/x
  3. Step 3: Cross multiply
    8,562.93x = 12,839.53 × 5,102.61
  4. Step 4: Simplify right side
    8,562.93x = 65,515,114.17
  5. Step 5: Solve for x
    x = 65,515,114.17/8,562.93
  6. Step 6: Final answer
    x = 7,651.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.