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Finding the Fourth Proportional to 6,719.42, 10,080.17 and 3,430.73

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Solution

The fourth proportional to 6,719.42, 10,080.17 and 3,430.73 is: 5,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.42 : 10,080.17 = 3,430.73 : x
  2. Step 2: Convert to fraction form
    6,719.42/10,080.17 = 3,430.73/x
  3. Step 3: Cross multiply
    6,719.42x = 10,080.17 × 3,430.73
  4. Step 4: Simplify right side
    6,719.42x = 34,582,341.62
  5. Step 5: Solve for x
    x = 34,582,341.62/6,719.42
  6. Step 6: Final answer
    x = 5,146.63

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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.