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Finding the Fourth Proportional to 7,744.80, 11,617.04 and 1,901.18

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Solution

The fourth proportional to 7,744.80, 11,617.04 and 1,901.18 is: 2,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.80 : 11,617.04 = 1,901.18 : x
  2. Step 2: Convert to fraction form
    7,744.80/11,617.04 = 1,901.18/x
  3. Step 3: Cross multiply
    7,744.80x = 11,617.04 × 1,901.18
  4. Step 4: Simplify right side
    7,744.80x = 22,086,084.11
  5. Step 5: Solve for x
    x = 22,086,084.11/7,744.80
  6. Step 6: Final answer
    x = 2,851.73

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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.