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Finding the Fourth Proportional to 7,806.38, 10,770.17 and 4,446.83

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Solution

The fourth proportional to 7,806.38, 10,770.17 and 4,446.83 is: 6,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.38 : 10,770.17 = 4,446.83 : x
  2. Step 2: Convert to fraction form
    7,806.38/10,770.17 = 4,446.83/x
  3. Step 3: Cross multiply
    7,806.38x = 10,770.17 × 4,446.83
  4. Step 4: Simplify right side
    7,806.38x = 47,893,119.75
  5. Step 5: Solve for x
    x = 47,893,119.75/7,806.38
  6. Step 6: Final answer
    x = 6,135.13

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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.