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Finding the Fourth Proportional to 8,148.96, 12,217.64 and 2,882.88

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Solution

The fourth proportional to 8,148.96, 12,217.64 and 2,882.88 is: 4,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.96 : 12,217.64 = 2,882.88 : x
  2. Step 2: Convert to fraction form
    8,148.96/12,217.64 = 2,882.88/x
  3. Step 3: Cross multiply
    8,148.96x = 12,217.64 × 2,882.88
  4. Step 4: Simplify right side
    8,148.96x = 35,221,975.59
  5. Step 5: Solve for x
    x = 35,221,975.59/8,148.96
  6. Step 6: Final answer
    x = 4,322.27

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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.