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Finding the Fourth Proportional to 10,974.72, 15,140.82 and 6,496.86

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Solution

The fourth proportional to 10,974.72, 15,140.82 and 6,496.86 is: 8,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.72 : 15,140.82 = 6,496.86 : x
  2. Step 2: Convert to fraction form
    10,974.72/15,140.82 = 6,496.86/x
  3. Step 3: Cross multiply
    10,974.72x = 15,140.82 × 6,496.86
  4. Step 4: Simplify right side
    10,974.72x = 98,367,787.83
  5. Step 5: Solve for x
    x = 98,367,787.83/10,974.72
  6. Step 6: Final answer
    x = 8,963.13

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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.