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Finding the Fourth Proportional to 11,963.32, 16,538.25 and 10,967.02

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Solution

The fourth proportional to 11,963.32, 16,538.25 and 10,967.02 is: 15,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.32 : 16,538.25 = 10,967.02 : x
  2. Step 2: Convert to fraction form
    11,963.32/16,538.25 = 10,967.02/x
  3. Step 3: Cross multiply
    11,963.32x = 16,538.25 × 10,967.02
  4. Step 4: Simplify right side
    11,963.32x = 181,375,318.52
  5. Step 5: Solve for x
    x = 181,375,318.52/11,963.32
  6. Step 6: Final answer
    x = 15,160.95

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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.