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Finding the Fourth Proportional to 8,147.83, 12,221.97 and 2,882.10

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Solution

The fourth proportional to 8,147.83, 12,221.97 and 2,882.10 is: 4,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.83 : 12,221.97 = 2,882.10 : x
  2. Step 2: Convert to fraction form
    8,147.83/12,221.97 = 2,882.10/x
  3. Step 3: Cross multiply
    8,147.83x = 12,221.97 × 2,882.10
  4. Step 4: Simplify right side
    8,147.83x = 35,224,904.71
  5. Step 5: Solve for x
    x = 35,224,904.71/8,147.83
  6. Step 6: Final answer
    x = 4,323.22

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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.