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Finding the Fourth Proportional to 12,083.13, 16,680.42 and 8,106.84

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Solution

The fourth proportional to 12,083.13, 16,680.42 and 8,106.84 is: 11,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.13 : 16,680.42 = 8,106.84 : x
  2. Step 2: Convert to fraction form
    12,083.13/16,680.42 = 8,106.84/x
  3. Step 3: Cross multiply
    12,083.13x = 16,680.42 × 8,106.84
  4. Step 4: Simplify right side
    12,083.13x = 135,225,496.07
  5. Step 5: Solve for x
    x = 135,225,496.07/12,083.13
  6. Step 6: Final answer
    x = 11,191.26

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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.