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Finding the Fourth Proportional to 7,793.88, 11,688.49 and 4,094.09

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Solution

The fourth proportional to 7,793.88, 11,688.49 and 4,094.09 is: 6,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.88 : 11,688.49 = 4,094.09 : x
  2. Step 2: Convert to fraction form
    7,793.88/11,688.49 = 4,094.09/x
  3. Step 3: Cross multiply
    7,793.88x = 11,688.49 × 4,094.09
  4. Step 4: Simplify right side
    7,793.88x = 47,853,780.52
  5. Step 5: Solve for x
    x = 47,853,780.52/7,793.88
  6. Step 6: Final answer
    x = 6,139.91

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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.