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Finding the Fourth Proportional to 11,093.76, 15,304.23 and 6,614.82

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Solution

The fourth proportional to 11,093.76, 15,304.23 and 6,614.82 is: 9,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.76 : 15,304.23 = 6,614.82 : x
  2. Step 2: Convert to fraction form
    11,093.76/15,304.23 = 6,614.82/x
  3. Step 3: Cross multiply
    11,093.76x = 15,304.23 × 6,614.82
  4. Step 4: Simplify right side
    11,093.76x = 101,234,726.69
  5. Step 5: Solve for x
    x = 101,234,726.69/11,093.76
  6. Step 6: Final answer
    x = 9,125.38

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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.