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Finding the Fourth Proportional to 8,402.15, 11,593.52 and 5,046.81

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Solution

The fourth proportional to 8,402.15, 11,593.52 and 5,046.81 is: 6,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.15 : 11,593.52 = 5,046.81 : x
  2. Step 2: Convert to fraction form
    8,402.15/11,593.52 = 5,046.81/x
  3. Step 3: Cross multiply
    8,402.15x = 11,593.52 × 5,046.81
  4. Step 4: Simplify right side
    8,402.15x = 58,510,267.44
  5. Step 5: Solve for x
    x = 58,510,267.44/8,402.15
  6. Step 6: Final answer
    x = 6,963.73

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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.