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Finding the Fourth Proportional to 27,677.39, 41,511.56 and 7,951.46

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Solution

The fourth proportional to 27,677.39, 41,511.56 and 7,951.46 is: 11,925.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.39 : 41,511.56 = 7,951.46 : x
  2. Step 2: Convert to fraction form
    27,677.39/41,511.56 = 7,951.46/x
  3. Step 3: Cross multiply
    27,677.39x = 41,511.56 × 7,951.46
  4. Step 4: Simplify right side
    27,677.39x = 330,077,261.56
  5. Step 5: Solve for x
    x = 330,077,261.56/27,677.39
  6. Step 6: Final answer
    x = 11,925.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.