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Finding the Fourth Proportional to 12,182.43, 16,810.82 and 6,877.77

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Solution

The fourth proportional to 12,182.43, 16,810.82 and 6,877.77 is: 9,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.43 : 16,810.82 = 6,877.77 : x
  2. Step 2: Convert to fraction form
    12,182.43/16,810.82 = 6,877.77/x
  3. Step 3: Cross multiply
    12,182.43x = 16,810.82 × 6,877.77
  4. Step 4: Simplify right side
    12,182.43x = 115,620,919.08
  5. Step 5: Solve for x
    x = 115,620,919.08/12,182.43
  6. Step 6: Final answer
    x = 9,490.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.