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Finding the Fourth Proportional to 7,876.23, 11,803.20 and 4,367.78

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Solution

The fourth proportional to 7,876.23, 11,803.20 and 4,367.78 is: 6,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.23 : 11,803.20 = 4,367.78 : x
  2. Step 2: Convert to fraction form
    7,876.23/11,803.20 = 4,367.78/x
  3. Step 3: Cross multiply
    7,876.23x = 11,803.20 × 4,367.78
  4. Step 4: Simplify right side
    7,876.23x = 51,553,780.90
  5. Step 5: Solve for x
    x = 51,553,780.90/7,876.23
  6. Step 6: Final answer
    x = 6,545.49

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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.