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Finding the Fourth Proportional to 8,098.16, 12,147.42 and 4,200.44

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Solution

The fourth proportional to 8,098.16, 12,147.42 and 4,200.44 is: 6,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.16 : 12,147.42 = 4,200.44 : x
  2. Step 2: Convert to fraction form
    8,098.16/12,147.42 = 4,200.44/x
  3. Step 3: Cross multiply
    8,098.16x = 12,147.42 × 4,200.44
  4. Step 4: Simplify right side
    8,098.16x = 51,024,508.86
  5. Step 5: Solve for x
    x = 51,024,508.86/8,098.16
  6. Step 6: Final answer
    x = 6,300.75

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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.