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Finding the Fourth Proportional to 10,489.23, 15,713.07 and 6,794.04

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Solution

The fourth proportional to 10,489.23, 15,713.07 and 6,794.04 is: 10,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.23 : 15,713.07 = 6,794.04 : x
  2. Step 2: Convert to fraction form
    10,489.23/15,713.07 = 6,794.04/x
  3. Step 3: Cross multiply
    10,489.23x = 15,713.07 × 6,794.04
  4. Step 4: Simplify right side
    10,489.23x = 106,755,226.10
  5. Step 5: Solve for x
    x = 106,755,226.10/10,489.23
  6. Step 6: Final answer
    x = 10,177.60

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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.