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Finding the Fourth Proportional to 11,344.26, 15,654.78 and 6,308.49

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Solution

The fourth proportional to 11,344.26, 15,654.78 and 6,308.49 is: 8,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.26 : 15,654.78 = 6,308.49 : x
  2. Step 2: Convert to fraction form
    11,344.26/15,654.78 = 6,308.49/x
  3. Step 3: Cross multiply
    11,344.26x = 15,654.78 × 6,308.49
  4. Step 4: Simplify right side
    11,344.26x = 98,758,023.08
  5. Step 5: Solve for x
    x = 98,758,023.08/11,344.26
  6. Step 6: Final answer
    x = 8,705.55

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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.