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Finding the Fourth Proportional to 11,040.90, 15,233.85 and 7,462.43

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Solution

The fourth proportional to 11,040.90, 15,233.85 and 7,462.43 is: 10,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,040.90 : 15,233.85 = 7,462.43 : x
  2. Step 2: Convert to fraction form
    11,040.90/15,233.85 = 7,462.43/x
  3. Step 3: Cross multiply
    11,040.90x = 15,233.85 × 7,462.43
  4. Step 4: Simplify right side
    11,040.90x = 113,681,463.09
  5. Step 5: Solve for x
    x = 113,681,463.09/11,040.90
  6. Step 6: Final answer
    x = 10,296.39

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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.