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Finding the Fourth Proportional to 12,182.46, 16,811.80 and 6,877.28

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Solution

The fourth proportional to 12,182.46, 16,811.80 and 6,877.28 is: 9,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.46 : 16,811.80 = 6,877.28 : x
  2. Step 2: Convert to fraction form
    12,182.46/16,811.80 = 6,877.28/x
  3. Step 3: Cross multiply
    12,182.46x = 16,811.80 × 6,877.28
  4. Step 4: Simplify right side
    12,182.46x = 115,619,455.90
  5. Step 5: Solve for x
    x = 115,619,455.90/12,182.46
  6. Step 6: Final answer
    x = 9,490.65

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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.