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Finding the Fourth Proportional to 11,517.38, 15,888.11 and 7,741.36

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Solution

The fourth proportional to 11,517.38, 15,888.11 and 7,741.36 is: 10,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.38 : 15,888.11 = 7,741.36 : x
  2. Step 2: Convert to fraction form
    11,517.38/15,888.11 = 7,741.36/x
  3. Step 3: Cross multiply
    11,517.38x = 15,888.11 × 7,741.36
  4. Step 4: Simplify right side
    11,517.38x = 122,995,579.23
  5. Step 5: Solve for x
    x = 122,995,579.23/11,517.38
  6. Step 6: Final answer
    x = 10,679.13

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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.