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Finding the Fourth Proportional to 7,720.62, 10,654.38 and 4,183.77

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Solution

The fourth proportional to 7,720.62, 10,654.38 and 4,183.77 is: 5,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.62 : 10,654.38 = 4,183.77 : x
  2. Step 2: Convert to fraction form
    7,720.62/10,654.38 = 4,183.77/x
  3. Step 3: Cross multiply
    7,720.62x = 10,654.38 × 4,183.77
  4. Step 4: Simplify right side
    7,720.62x = 44,575,475.41
  5. Step 5: Solve for x
    x = 44,575,475.41/7,720.62
  6. Step 6: Final answer
    x = 5,773.56

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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.