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Finding the Fourth Proportional to 7,793.56, 11,691.54 and 2,599

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Solution

The fourth proportional to 7,793.56, 11,691.54 and 2,599 is: 3,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.56 : 11,691.54 = 2,599 : x
  2. Step 2: Convert to fraction form
    7,793.56/11,691.54 = 2,599/x
  3. Step 3: Cross multiply
    7,793.56x = 11,691.54 × 2,599
  4. Step 4: Simplify right side
    7,793.56x = 30,386,312.46
  5. Step 5: Solve for x
    x = 30,386,312.46/7,793.56
  6. Step 6: Final answer
    x = 3,898.90

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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.