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Finding the Fourth Proportional to 8,874.22, 12,247.05 and 5,098

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Solution

The fourth proportional to 8,874.22, 12,247.05 and 5,098 is: 7,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.22 : 12,247.05 = 5,098 : x
  2. Step 2: Convert to fraction form
    8,874.22/12,247.05 = 5,098/x
  3. Step 3: Cross multiply
    8,874.22x = 12,247.05 × 5,098
  4. Step 4: Simplify right side
    8,874.22x = 62,435,460.90
  5. Step 5: Solve for x
    x = 62,435,460.90/8,874.22
  6. Step 6: Final answer
    x = 7,035.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.