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Finding the Fourth Proportional to 6,775.20, 10,162.80 and 3,494.70

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Solution

The fourth proportional to 6,775.20, 10,162.80 and 3,494.70 is: 5,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.20 : 10,162.80 = 3,494.70 : x
  2. Step 2: Convert to fraction form
    6,775.20/10,162.80 = 3,494.70/x
  3. Step 3: Cross multiply
    6,775.20x = 10,162.80 × 3,494.70
  4. Step 4: Simplify right side
    6,775.20x = 35,515,937.16
  5. Step 5: Solve for x
    x = 35,515,937.16/6,775.20
  6. Step 6: Final answer
    x = 5,242.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.