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Finding the Fourth Proportional to 8,107.84, 12,161.32 and 3,178.36

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Solution

The fourth proportional to 8,107.84, 12,161.32 and 3,178.36 is: 4,767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.84 : 12,161.32 = 3,178.36 : x
  2. Step 2: Convert to fraction form
    8,107.84/12,161.32 = 3,178.36/x
  3. Step 3: Cross multiply
    8,107.84x = 12,161.32 × 3,178.36
  4. Step 4: Simplify right side
    8,107.84x = 38,653,053.04
  5. Step 5: Solve for x
    x = 38,653,053.04/8,107.84
  6. Step 6: Final answer
    x = 4,767.37

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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.