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Finding the Fourth Proportional to 7,718.02, 11,578.47 and 2,527.54

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Solution

The fourth proportional to 7,718.02, 11,578.47 and 2,527.54 is: 3,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.02 : 11,578.47 = 2,527.54 : x
  2. Step 2: Convert to fraction form
    7,718.02/11,578.47 = 2,527.54/x
  3. Step 3: Cross multiply
    7,718.02x = 11,578.47 × 2,527.54
  4. Step 4: Simplify right side
    7,718.02x = 29,265,046.06
  5. Step 5: Solve for x
    x = 29,265,046.06/7,718.02
  6. Step 6: Final answer
    x = 3,791.78

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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.