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Finding the Fourth Proportional to 7,787.02, 11,682.31 and 2,240.41

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Solution

The fourth proportional to 7,787.02, 11,682.31 and 2,240.41 is: 3,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.02 : 11,682.31 = 2,240.41 : x
  2. Step 2: Convert to fraction form
    7,787.02/11,682.31 = 2,240.41/x
  3. Step 3: Cross multiply
    7,787.02x = 11,682.31 × 2,240.41
  4. Step 4: Simplify right side
    7,787.02x = 26,173,105.74
  5. Step 5: Solve for x
    x = 26,173,105.74/7,787.02
  6. Step 6: Final answer
    x = 3,361.12

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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.