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Finding the Fourth Proportional to 7,930.48, 11,893.27 and 6,366.79

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Solution

The fourth proportional to 7,930.48, 11,893.27 and 6,366.79 is: 9,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.48 : 11,893.27 = 6,366.79 : x
  2. Step 2: Convert to fraction form
    7,930.48/11,893.27 = 6,366.79/x
  3. Step 3: Cross multiply
    7,930.48x = 11,893.27 × 6,366.79
  4. Step 4: Simplify right side
    7,930.48x = 75,721,952.50
  5. Step 5: Solve for x
    x = 75,721,952.50/7,930.48
  6. Step 6: Final answer
    x = 9,548.22

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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.