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Finding the Fourth Proportional to 7,791.28, 11,672.86 and 4,277.48

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Solution

The fourth proportional to 7,791.28, 11,672.86 and 4,277.48 is: 6,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.28 : 11,672.86 = 4,277.48 : x
  2. Step 2: Convert to fraction form
    7,791.28/11,672.86 = 4,277.48/x
  3. Step 3: Cross multiply
    7,791.28x = 11,672.86 × 4,277.48
  4. Step 4: Simplify right side
    7,791.28x = 49,930,425.19
  5. Step 5: Solve for x
    x = 49,930,425.19/7,791.28
  6. Step 6: Final answer
    x = 6,408.50

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Why These Related Problems?

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