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Finding the Fourth Proportional to 8,165.96, 11,265.78 and 5,332.44

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Solution

The fourth proportional to 8,165.96, 11,265.78 and 5,332.44 is: 7,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.96 : 11,265.78 = 5,332.44 : x
  2. Step 2: Convert to fraction form
    8,165.96/11,265.78 = 5,332.44/x
  3. Step 3: Cross multiply
    8,165.96x = 11,265.78 × 5,332.44
  4. Step 4: Simplify right side
    8,165.96x = 60,074,095.90
  5. Step 5: Solve for x
    x = 60,074,095.90/8,165.96
  6. Step 6: Final answer
    x = 7,356.65

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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.