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Finding the Fourth Proportional to 10,884.24, 15,014.16 and 6,691.68

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Solution

The fourth proportional to 10,884.24, 15,014.16 and 6,691.68 is: 9,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.24 : 15,014.16 = 6,691.68 : x
  2. Step 2: Convert to fraction form
    10,884.24/15,014.16 = 6,691.68/x
  3. Step 3: Cross multiply
    10,884.24x = 15,014.16 × 6,691.68
  4. Step 4: Simplify right side
    10,884.24x = 100,469,954.19
  5. Step 5: Solve for x
    x = 100,469,954.19/10,884.24
  6. Step 6: Final answer
    x = 9,230.77

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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.