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Finding the Fourth Proportional to 8,397.68, 11,576.48 and 5,871.92

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Solution

The fourth proportional to 8,397.68, 11,576.48 and 5,871.92 is: 8,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.68 : 11,576.48 = 5,871.92 : x
  2. Step 2: Convert to fraction form
    8,397.68/11,576.48 = 5,871.92/x
  3. Step 3: Cross multiply
    8,397.68x = 11,576.48 × 5,871.92
  4. Step 4: Simplify right side
    8,397.68x = 67,976,077.20
  5. Step 5: Solve for x
    x = 67,976,077.20/8,397.68
  6. Step 6: Final answer
    x = 8,094.63

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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.