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Finding the Fourth Proportional to 8,007.76, 11,998.14 and 5,230.36

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Solution

The fourth proportional to 8,007.76, 11,998.14 and 5,230.36 is: 7,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.76 : 11,998.14 = 5,230.36 : x
  2. Step 2: Convert to fraction form
    8,007.76/11,998.14 = 5,230.36/x
  3. Step 3: Cross multiply
    8,007.76x = 11,998.14 × 5,230.36
  4. Step 4: Simplify right side
    8,007.76x = 62,754,591.53
  5. Step 5: Solve for x
    x = 62,754,591.53/8,007.76
  6. Step 6: Final answer
    x = 7,836.72

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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.