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Finding the Fourth Proportional to 11,932.13, 16,465.88 and 6,627.28

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Solution

The fourth proportional to 11,932.13, 16,465.88 and 6,627.28 is: 9,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.13 : 16,465.88 = 6,627.28 : x
  2. Step 2: Convert to fraction form
    11,932.13/16,465.88 = 6,627.28/x
  3. Step 3: Cross multiply
    11,932.13x = 16,465.88 × 6,627.28
  4. Step 4: Simplify right side
    11,932.13x = 109,123,922.91
  5. Step 5: Solve for x
    x = 109,123,922.91/11,932.13
  6. Step 6: Final answer
    x = 9,145.39

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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.