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Finding the Fourth Proportional to 5,007.71, 7,517.93 and 4,085.07

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Solution

The fourth proportional to 5,007.71, 7,517.93 and 4,085.07 is: 6,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.71 : 7,517.93 = 4,085.07 : x
  2. Step 2: Convert to fraction form
    5,007.71/7,517.93 = 4,085.07/x
  3. Step 3: Cross multiply
    5,007.71x = 7,517.93 × 4,085.07
  4. Step 4: Simplify right side
    5,007.71x = 30,711,249.88
  5. Step 5: Solve for x
    x = 30,711,249.88/5,007.71
  6. Step 6: Final answer
    x = 6,132.80

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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.