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Finding the Fourth Proportional to 8,227.07, 12,332.97 and 4,007.81

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Solution

The fourth proportional to 8,227.07, 12,332.97 and 4,007.81 is: 6,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.07 : 12,332.97 = 4,007.81 : x
  2. Step 2: Convert to fraction form
    8,227.07/12,332.97 = 4,007.81/x
  3. Step 3: Cross multiply
    8,227.07x = 12,332.97 × 4,007.81
  4. Step 4: Simplify right side
    8,227.07x = 49,428,138.83
  5. Step 5: Solve for x
    x = 49,428,138.83/8,227.07
  6. Step 6: Final answer
    x = 6,007.99

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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.