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Finding the Fourth Proportional to 7,787.40, 11,678.03 and 3,401.79

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Solution

The fourth proportional to 7,787.40, 11,678.03 and 3,401.79 is: 5,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.40 : 11,678.03 = 3,401.79 : x
  2. Step 2: Convert to fraction form
    7,787.40/11,678.03 = 3,401.79/x
  3. Step 3: Cross multiply
    7,787.40x = 11,678.03 × 3,401.79
  4. Step 4: Simplify right side
    7,787.40x = 39,726,205.67
  5. Step 5: Solve for x
    x = 39,726,205.67/7,787.40
  6. Step 6: Final answer
    x = 5,101.34

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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.