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Finding the Fourth Proportional to 8,578.08, 11,838.24 and 6,478.56

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Solution

The fourth proportional to 8,578.08, 11,838.24 and 6,478.56 is: 8,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.08 : 11,838.24 = 6,478.56 : x
  2. Step 2: Convert to fraction form
    8,578.08/11,838.24 = 6,478.56/x
  3. Step 3: Cross multiply
    8,578.08x = 11,838.24 × 6,478.56
  4. Step 4: Simplify right side
    8,578.08x = 76,694,748.13
  5. Step 5: Solve for x
    x = 76,694,748.13/8,578.08
  6. Step 6: Final answer
    x = 8,940.78

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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.