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Finding the Fourth Proportional to 8,112.47, 11,191.92 and 5,725.91

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Solution

The fourth proportional to 8,112.47, 11,191.92 and 5,725.91 is: 7,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.47 : 11,191.92 = 5,725.91 : x
  2. Step 2: Convert to fraction form
    8,112.47/11,191.92 = 5,725.91/x
  3. Step 3: Cross multiply
    8,112.47x = 11,191.92 × 5,725.91
  4. Step 4: Simplify right side
    8,112.47x = 64,083,926.65
  5. Step 5: Solve for x
    x = 64,083,926.65/8,112.47
  6. Step 6: Final answer
    x = 7,899.43

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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.