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Finding the Fourth Proportional to 8,288.92, 11,432.50 and 5,771.17

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Solution

The fourth proportional to 8,288.92, 11,432.50 and 5,771.17 is: 7,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.92 : 11,432.50 = 5,771.17 : x
  2. Step 2: Convert to fraction form
    8,288.92/11,432.50 = 5,771.17/x
  3. Step 3: Cross multiply
    8,288.92x = 11,432.50 × 5,771.17
  4. Step 4: Simplify right side
    8,288.92x = 65,978,901.03
  5. Step 5: Solve for x
    x = 65,978,901.03/8,288.92
  6. Step 6: Final answer
    x = 7,959.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.