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Finding the Fourth Proportional to 6,517.24, 8,991.66 and 4,160.14

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Solution

The fourth proportional to 6,517.24, 8,991.66 and 4,160.14 is: 5,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.24 : 8,991.66 = 4,160.14 : x
  2. Step 2: Convert to fraction form
    6,517.24/8,991.66 = 4,160.14/x
  3. Step 3: Cross multiply
    6,517.24x = 8,991.66 × 4,160.14
  4. Step 4: Simplify right side
    6,517.24x = 37,406,564.43
  5. Step 5: Solve for x
    x = 37,406,564.43/6,517.24
  6. Step 6: Final answer
    x = 5,739.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.