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Finding the Fourth Proportional to 6,314.75, 8,720.62 and 5,199.38

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Solution

The fourth proportional to 6,314.75, 8,720.62 and 5,199.38 is: 7,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.75 : 8,720.62 = 5,199.38 : x
  2. Step 2: Convert to fraction form
    6,314.75/8,720.62 = 5,199.38/x
  3. Step 3: Cross multiply
    6,314.75x = 8,720.62 × 5,199.38
  4. Step 4: Simplify right side
    6,314.75x = 45,341,760.61
  5. Step 5: Solve for x
    x = 45,341,760.61/6,314.75
  6. Step 6: Final answer
    x = 7,180.30

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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.