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Finding the Fourth Proportional to 11,496.38, 17,228.97 and 5,248.64

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Solution

The fourth proportional to 11,496.38, 17,228.97 and 5,248.64 is: 7,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.38 : 17,228.97 = 5,248.64 : x
  2. Step 2: Convert to fraction form
    11,496.38/17,228.97 = 5,248.64/x
  3. Step 3: Cross multiply
    11,496.38x = 17,228.97 × 5,248.64
  4. Step 4: Simplify right side
    11,496.38x = 90,428,704.17
  5. Step 5: Solve for x
    x = 90,428,704.17/11,496.38
  6. Step 6: Final answer
    x = 7,865.85

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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.