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Finding the Fourth Proportional to 8,571.69, 12,856.23 and 2,332.08

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Solution

The fourth proportional to 8,571.69, 12,856.23 and 2,332.08 is: 3,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.69 : 12,856.23 = 2,332.08 : x
  2. Step 2: Convert to fraction form
    8,571.69/12,856.23 = 2,332.08/x
  3. Step 3: Cross multiply
    8,571.69x = 12,856.23 × 2,332.08
  4. Step 4: Simplify right side
    8,571.69x = 29,981,756.86
  5. Step 5: Solve for x
    x = 29,981,756.86/8,571.69
  6. Step 6: Final answer
    x = 3,497.76

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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.