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Finding the Fourth Proportional to 7,787.34, 11,682.72 and 2,593.08

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Solution

The fourth proportional to 7,787.34, 11,682.72 and 2,593.08 is: 3,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.34 : 11,682.72 = 2,593.08 : x
  2. Step 2: Convert to fraction form
    7,787.34/11,682.72 = 2,593.08/x
  3. Step 3: Cross multiply
    7,787.34x = 11,682.72 × 2,593.08
  4. Step 4: Simplify right side
    7,787.34x = 30,294,227.58
  5. Step 5: Solve for x
    x = 30,294,227.58/7,787.34
  6. Step 6: Final answer
    x = 3,890.19

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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.