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Finding the Fourth Proportional to 11,415.38, 15,753.82 and 6,938.40

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Solution

The fourth proportional to 11,415.38, 15,753.82 and 6,938.40 is: 9,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.38 : 15,753.82 = 6,938.40 : x
  2. Step 2: Convert to fraction form
    11,415.38/15,753.82 = 6,938.40/x
  3. Step 3: Cross multiply
    11,415.38x = 15,753.82 × 6,938.40
  4. Step 4: Simplify right side
    11,415.38x = 109,306,287.34
  5. Step 5: Solve for x
    x = 109,306,287.34/11,415.38
  6. Step 6: Final answer
    x = 9,575.36

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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.