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Finding the Fourth Proportional to 8,098.88, 12,147 and 2,254.16

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Solution

The fourth proportional to 8,098.88, 12,147 and 2,254.16 is: 3,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.88 : 12,147 = 2,254.16 : x
  2. Step 2: Convert to fraction form
    8,098.88/12,147 = 2,254.16/x
  3. Step 3: Cross multiply
    8,098.88x = 12,147 × 2,254.16
  4. Step 4: Simplify right side
    8,098.88x = 27,381,281.52
  5. Step 5: Solve for x
    x = 27,381,281.52/8,098.88
  6. Step 6: Final answer
    x = 3,380.87

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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.