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Finding the Fourth Proportional to 11,932.47, 16,466.31 and 6,626.97

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Solution

The fourth proportional to 11,932.47, 16,466.31 and 6,626.97 is: 9,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.47 : 16,466.31 = 6,626.97 : x
  2. Step 2: Convert to fraction form
    11,932.47/16,466.31 = 6,626.97/x
  3. Step 3: Cross multiply
    11,932.47x = 16,466.31 × 6,626.97
  4. Step 4: Simplify right side
    11,932.47x = 109,121,742.38
  5. Step 5: Solve for x
    x = 109,121,742.38/11,932.47
  6. Step 6: Final answer
    x = 9,144.94

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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.