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Finding the Fourth Proportional to 7,787.56, 11,681.46 and 2,593.44

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Solution

The fourth proportional to 7,787.56, 11,681.46 and 2,593.44 is: 3,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.56 : 11,681.46 = 2,593.44 : x
  2. Step 2: Convert to fraction form
    7,787.56/11,681.46 = 2,593.44/x
  3. Step 3: Cross multiply
    7,787.56x = 11,681.46 × 2,593.44
  4. Step 4: Simplify right side
    7,787.56x = 30,295,165.62
  5. Step 5: Solve for x
    x = 30,295,165.62/7,787.56
  6. Step 6: Final answer
    x = 3,890.20

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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.