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Finding the Fourth Proportional to 8,098.66, 12,146.25 and 3,416.86

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Solution

The fourth proportional to 8,098.66, 12,146.25 and 3,416.86 is: 5,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.66 : 12,146.25 = 3,416.86 : x
  2. Step 2: Convert to fraction form
    8,098.66/12,146.25 = 3,416.86/x
  3. Step 3: Cross multiply
    8,098.66x = 12,146.25 × 3,416.86
  4. Step 4: Simplify right side
    8,098.66x = 41,502,035.78
  5. Step 5: Solve for x
    x = 41,502,035.78/8,098.66
  6. Step 6: Final answer
    x = 5,124.56

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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.