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Finding the Fourth Proportional to 8,019.87, 12,013.38 and 5,942.22

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Solution

The fourth proportional to 8,019.87, 12,013.38 and 5,942.22 is: 8,901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.87 : 12,013.38 = 5,942.22 : x
  2. Step 2: Convert to fraction form
    8,019.87/12,013.38 = 5,942.22/x
  3. Step 3: Cross multiply
    8,019.87x = 12,013.38 × 5,942.22
  4. Step 4: Simplify right side
    8,019.87x = 71,386,146.90
  5. Step 5: Solve for x
    x = 71,386,146.90/8,019.87
  6. Step 6: Final answer
    x = 8,901.16

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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.