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Finding the Fourth Proportional to 12,183.75, 16,812.72 and 6,877.53

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Solution

The fourth proportional to 12,183.75, 16,812.72 and 6,877.53 is: 9,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.75 : 16,812.72 = 6,877.53 : x
  2. Step 2: Convert to fraction form
    12,183.75/16,812.72 = 6,877.53/x
  3. Step 3: Cross multiply
    12,183.75x = 16,812.72 × 6,877.53
  4. Step 4: Simplify right side
    12,183.75x = 115,629,986.18
  5. Step 5: Solve for x
    x = 115,629,986.18/12,183.75
  6. Step 6: Final answer
    x = 9,490.51

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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.