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Finding the Fourth Proportional to 8,543.43, 11,787.92 and 5,186.16

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Solution

The fourth proportional to 8,543.43, 11,787.92 and 5,186.16 is: 7,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.43 : 11,787.92 = 5,186.16 : x
  2. Step 2: Convert to fraction form
    8,543.43/11,787.92 = 5,186.16/x
  3. Step 3: Cross multiply
    8,543.43x = 11,787.92 × 5,186.16
  4. Step 4: Simplify right side
    8,543.43x = 61,134,013.26
  5. Step 5: Solve for x
    x = 61,134,013.26/8,543.43
  6. Step 6: Final answer
    x = 7,155.68

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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.