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Finding the Fourth Proportional to 7,714.38, 10,645.86 and 4,177.62

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Solution

The fourth proportional to 7,714.38, 10,645.86 and 4,177.62 is: 5,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.38 : 10,645.86 = 4,177.62 : x
  2. Step 2: Convert to fraction form
    7,714.38/10,645.86 = 4,177.62/x
  3. Step 3: Cross multiply
    7,714.38x = 10,645.86 × 4,177.62
  4. Step 4: Simplify right side
    7,714.38x = 44,474,357.65
  5. Step 5: Solve for x
    x = 44,474,357.65/7,714.38
  6. Step 6: Final answer
    x = 5,765.12

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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.