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Finding the Fourth Proportional to 10,940.86, 15,098.97 and 6,226.66

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Solution

The fourth proportional to 10,940.86, 15,098.97 and 6,226.66 is: 8,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.86 : 15,098.97 = 6,226.66 : x
  2. Step 2: Convert to fraction form
    10,940.86/15,098.97 = 6,226.66/x
  3. Step 3: Cross multiply
    10,940.86x = 15,098.97 × 6,226.66
  4. Step 4: Simplify right side
    10,940.86x = 94,016,152.54
  5. Step 5: Solve for x
    x = 94,016,152.54/10,940.86
  6. Step 6: Final answer
    x = 8,593.12

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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.