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Finding the Fourth Proportional to 11,331.53, 15,634.96 and 6,855.17

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Solution

The fourth proportional to 11,331.53, 15,634.96 and 6,855.17 is: 9,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.53 : 15,634.96 = 6,855.17 : x
  2. Step 2: Convert to fraction form
    11,331.53/15,634.96 = 6,855.17/x
  3. Step 3: Cross multiply
    11,331.53x = 15,634.96 × 6,855.17
  4. Step 4: Simplify right side
    11,331.53x = 107,180,308.74
  5. Step 5: Solve for x
    x = 107,180,308.74/11,331.53
  6. Step 6: Final answer
    x = 9,458.59

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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.