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Finding the Fourth Proportional to 8,098.24, 12,147.79 and 2,552.02

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Solution

The fourth proportional to 8,098.24, 12,147.79 and 2,552.02 is: 3,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.24 : 12,147.79 = 2,552.02 : x
  2. Step 2: Convert to fraction form
    8,098.24/12,147.79 = 2,552.02/x
  3. Step 3: Cross multiply
    8,098.24x = 12,147.79 × 2,552.02
  4. Step 4: Simplify right side
    8,098.24x = 31,001,342.30
  5. Step 5: Solve for x
    x = 31,001,342.30/8,098.24
  6. Step 6: Final answer
    x = 3,828.16

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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.