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Finding the Fourth Proportional to 8,717.78, 12,022.57 and 6,485.24

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Solution

The fourth proportional to 8,717.78, 12,022.57 and 6,485.24 is: 8,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.78 : 12,022.57 = 6,485.24 : x
  2. Step 2: Convert to fraction form
    8,717.78/12,022.57 = 6,485.24/x
  3. Step 3: Cross multiply
    8,717.78x = 12,022.57 × 6,485.24
  4. Step 4: Simplify right side
    8,717.78x = 77,969,251.87
  5. Step 5: Solve for x
    x = 77,969,251.87/8,717.78
  6. Step 6: Final answer
    x = 8,943.70

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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.