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Finding the Fourth Proportional to 8,217.92, 11,342.22 and 4,681.48

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Solution

The fourth proportional to 8,217.92, 11,342.22 and 4,681.48 is: 6,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.92 : 11,342.22 = 4,681.48 : x
  2. Step 2: Convert to fraction form
    8,217.92/11,342.22 = 4,681.48/x
  3. Step 3: Cross multiply
    8,217.92x = 11,342.22 × 4,681.48
  4. Step 4: Simplify right side
    8,217.92x = 53,098,376.09
  5. Step 5: Solve for x
    x = 53,098,376.09/8,217.92
  6. Step 6: Final answer
    x = 6,461.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.