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Finding the Fourth Proportional to 12,183.75, 16,812.13 and 6,878.25

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Solution

The fourth proportional to 12,183.75, 16,812.13 and 6,878.25 is: 9,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.75 : 16,812.13 = 6,878.25 : x
  2. Step 2: Convert to fraction form
    12,183.75/16,812.13 = 6,878.25/x
  3. Step 3: Cross multiply
    12,183.75x = 16,812.13 × 6,878.25
  4. Step 4: Simplify right side
    12,183.75x = 115,638,033.17
  5. Step 5: Solve for x
    x = 115,638,033.17/12,183.75
  6. Step 6: Final answer
    x = 9,491.17

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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.