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Finding the Fourth Proportional to 10,939.86, 15,097.05 and 6,224.04

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Solution

The fourth proportional to 10,939.86, 15,097.05 and 6,224.04 is: 8,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.86 : 15,097.05 = 6,224.04 : x
  2. Step 2: Convert to fraction form
    10,939.86/15,097.05 = 6,224.04/x
  3. Step 3: Cross multiply
    10,939.86x = 15,097.05 × 6,224.04
  4. Step 4: Simplify right side
    10,939.86x = 93,964,643.08
  5. Step 5: Solve for x
    x = 93,964,643.08/10,939.86
  6. Step 6: Final answer
    x = 8,589.20

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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.