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Finding the Fourth Proportional to 7,794.38, 10,755.83 and 4,437.18

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Solution

The fourth proportional to 7,794.38, 10,755.83 and 4,437.18 is: 6,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.38 : 10,755.83 = 4,437.18 : x
  2. Step 2: Convert to fraction form
    7,794.38/10,755.83 = 4,437.18/x
  3. Step 3: Cross multiply
    7,794.38x = 10,755.83 × 4,437.18
  4. Step 4: Simplify right side
    7,794.38x = 47,725,553.76
  5. Step 5: Solve for x
    x = 47,725,553.76/7,794.38
  6. Step 6: Final answer
    x = 6,123.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.