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Finding the Fourth Proportional to 6,707.88, 10,057.23 and 3,414.60

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Solution

The fourth proportional to 6,707.88, 10,057.23 and 3,414.60 is: 5,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.88 : 10,057.23 = 3,414.60 : x
  2. Step 2: Convert to fraction form
    6,707.88/10,057.23 = 3,414.60/x
  3. Step 3: Cross multiply
    6,707.88x = 10,057.23 × 3,414.60
  4. Step 4: Simplify right side
    6,707.88x = 34,341,417.56
  5. Step 5: Solve for x
    x = 34,341,417.56/6,707.88
  6. Step 6: Final answer
    x = 5,119.56

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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.