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Finding the Fourth Proportional to 11,538.38, 15,928.28 and 6,757.66

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Solution

The fourth proportional to 11,538.38, 15,928.28 and 6,757.66 is: 9,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.38 : 15,928.28 = 6,757.66 : x
  2. Step 2: Convert to fraction form
    11,538.38/15,928.28 = 6,757.66/x
  3. Step 3: Cross multiply
    11,538.38x = 15,928.28 × 6,757.66
  4. Step 4: Simplify right side
    11,538.38x = 107,637,900.62
  5. Step 5: Solve for x
    x = 107,637,900.62/11,538.38
  6. Step 6: Final answer
    x = 9,328.68

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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.