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Finding the Fourth Proportional to 8,187.80, 12,277.34 and 2,922

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Solution

The fourth proportional to 8,187.80, 12,277.34 and 2,922 is: 4,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.80 : 12,277.34 = 2,922 : x
  2. Step 2: Convert to fraction form
    8,187.80/12,277.34 = 2,922/x
  3. Step 3: Cross multiply
    8,187.80x = 12,277.34 × 2,922
  4. Step 4: Simplify right side
    8,187.80x = 35,874,387.48
  5. Step 5: Solve for x
    x = 35,874,387.48/8,187.80
  6. Step 6: Final answer
    x = 4,381.44

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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.