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Finding the Fourth Proportional to 7,720.38, 10,654.17 and 4,183.65

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Solution

The fourth proportional to 7,720.38, 10,654.17 and 4,183.65 is: 5,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.38 : 10,654.17 = 4,183.65 : x
  2. Step 2: Convert to fraction form
    7,720.38/10,654.17 = 4,183.65/x
  3. Step 3: Cross multiply
    7,720.38x = 10,654.17 × 4,183.65
  4. Step 4: Simplify right side
    7,720.38x = 44,573,318.32
  5. Step 5: Solve for x
    x = 44,573,318.32/7,720.38
  6. Step 6: Final answer
    x = 5,773.46

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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.