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Finding the Fourth Proportional to 11,551.38, 15,938.14 and 7,013.97

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Solution

The fourth proportional to 11,551.38, 15,938.14 and 7,013.97 is: 9,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.38 : 15,938.14 = 7,013.97 : x
  2. Step 2: Convert to fraction form
    11,551.38/15,938.14 = 7,013.97/x
  3. Step 3: Cross multiply
    11,551.38x = 15,938.14 × 7,013.97
  4. Step 4: Simplify right side
    11,551.38x = 111,789,606.33
  5. Step 5: Solve for x
    x = 111,789,606.33/11,551.38
  6. Step 6: Final answer
    x = 9,677.59

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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.