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Finding the Fourth Proportional to 8,717.84, 13,078.56 and 3,524.12

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Solution

The fourth proportional to 8,717.84, 13,078.56 and 3,524.12 is: 5,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.84 : 13,078.56 = 3,524.12 : x
  2. Step 2: Convert to fraction form
    8,717.84/13,078.56 = 3,524.12/x
  3. Step 3: Cross multiply
    8,717.84x = 13,078.56 × 3,524.12
  4. Step 4: Simplify right side
    8,717.84x = 46,090,414.87
  5. Step 5: Solve for x
    x = 46,090,414.87/8,717.84
  6. Step 6: Final answer
    x = 5,286.91

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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.