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Finding the Fourth Proportional to 10,872.53, 16,297.76 and 6,182.85

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Solution

The fourth proportional to 10,872.53, 16,297.76 and 6,182.85 is: 9,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.53 : 16,297.76 = 6,182.85 : x
  2. Step 2: Convert to fraction form
    10,872.53/16,297.76 = 6,182.85/x
  3. Step 3: Cross multiply
    10,872.53x = 16,297.76 × 6,182.85
  4. Step 4: Simplify right side
    10,872.53x = 100,766,574.50
  5. Step 5: Solve for x
    x = 100,766,574.50/10,872.53
  6. Step 6: Final answer
    x = 9,268.00

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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.