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Finding the Fourth Proportional to 7,717.44, 11,576.12 and 1,874.08

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Solution

The fourth proportional to 7,717.44, 11,576.12 and 1,874.08 is: 2,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.44 : 11,576.12 = 1,874.08 : x
  2. Step 2: Convert to fraction form
    7,717.44/11,576.12 = 1,874.08/x
  3. Step 3: Cross multiply
    7,717.44x = 11,576.12 × 1,874.08
  4. Step 4: Simplify right side
    7,717.44x = 21,694,574.97
  5. Step 5: Solve for x
    x = 21,694,574.97/7,717.44
  6. Step 6: Final answer
    x = 2,811.11

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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.