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Finding the Fourth Proportional to 7,787.69, 11,682.00 and 2,240.92

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Solution

The fourth proportional to 7,787.69, 11,682.00 and 2,240.92 is: 3,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.69 : 11,682.00 = 2,240.92 : x
  2. Step 2: Convert to fraction form
    7,787.69/11,682.00 = 2,240.92/x
  3. Step 3: Cross multiply
    7,787.69x = 11,682.00 × 2,240.92
  4. Step 4: Simplify right side
    7,787.69x = 26,178,370.03
  5. Step 5: Solve for x
    x = 26,178,370.03/7,787.69
  6. Step 6: Final answer
    x = 3,361.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.