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Finding the Fourth Proportional to 10,121.32, 13,963.08 and 5,872.06

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Solution

The fourth proportional to 10,121.32, 13,963.08 and 5,872.06 is: 8,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.32 : 13,963.08 = 5,872.06 : x
  2. Step 2: Convert to fraction form
    10,121.32/13,963.08 = 5,872.06/x
  3. Step 3: Cross multiply
    10,121.32x = 13,963.08 × 5,872.06
  4. Step 4: Simplify right side
    10,121.32x = 81,992,043.54
  5. Step 5: Solve for x
    x = 81,992,043.54/10,121.32
  6. Step 6: Final answer
    x = 8,100.92

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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.