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Finding the Fourth Proportional to 11,349.52, 15,662.64 and 6,314.25

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Solution

The fourth proportional to 11,349.52, 15,662.64 and 6,314.25 is: 8,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.52 : 15,662.64 = 6,314.25 : x
  2. Step 2: Convert to fraction form
    11,349.52/15,662.64 = 6,314.25/x
  3. Step 3: Cross multiply
    11,349.52x = 15,662.64 × 6,314.25
  4. Step 4: Simplify right side
    11,349.52x = 98,897,824.62
  5. Step 5: Solve for x
    x = 98,897,824.62/11,349.52
  6. Step 6: Final answer
    x = 8,713.83

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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.