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Finding the Fourth Proportional to 8,121.52, 12,195.78 and 5,062.96

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Solution

The fourth proportional to 8,121.52, 12,195.78 and 5,062.96 is: 7,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.52 : 12,195.78 = 5,062.96 : x
  2. Step 2: Convert to fraction form
    8,121.52/12,195.78 = 5,062.96/x
  3. Step 3: Cross multiply
    8,121.52x = 12,195.78 × 5,062.96
  4. Step 4: Simplify right side
    8,121.52x = 61,746,746.31
  5. Step 5: Solve for x
    x = 61,746,746.31/8,121.52
  6. Step 6: Final answer
    x = 7,602.86

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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.