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Finding the Fourth Proportional to 11,342.44, 15,651.86 and 6,306.38

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Solution

The fourth proportional to 11,342.44, 15,651.86 and 6,306.38 is: 8,702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.44 : 15,651.86 = 6,306.38 : x
  2. Step 2: Convert to fraction form
    11,342.44/15,651.86 = 6,306.38/x
  3. Step 3: Cross multiply
    11,342.44x = 15,651.86 × 6,306.38
  4. Step 4: Simplify right side
    11,342.44x = 98,706,576.87
  5. Step 5: Solve for x
    x = 98,706,576.87/11,342.44
  6. Step 6: Final answer
    x = 8,702.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.