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Finding the Fourth Proportional to 7,517.68, 11,270.44 and 3,138.41

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Solution

The fourth proportional to 7,517.68, 11,270.44 and 3,138.41 is: 4,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.68 : 11,270.44 = 3,138.41 : x
  2. Step 2: Convert to fraction form
    7,517.68/11,270.44 = 3,138.41/x
  3. Step 3: Cross multiply
    7,517.68x = 11,270.44 × 3,138.41
  4. Step 4: Simplify right side
    7,517.68x = 35,371,281.93
  5. Step 5: Solve for x
    x = 35,371,281.93/7,517.68
  6. Step 6: Final answer
    x = 4,705.08

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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.