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Finding the Fourth Proportional to 12,083.10, 16,680.51 and 8,102.76

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Solution

The fourth proportional to 12,083.10, 16,680.51 and 8,102.76 is: 11,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.10 : 16,680.51 = 8,102.76 : x
  2. Step 2: Convert to fraction form
    12,083.10/16,680.51 = 8,102.76/x
  3. Step 3: Cross multiply
    12,083.10x = 16,680.51 × 8,102.76
  4. Step 4: Simplify right side
    12,083.10x = 135,158,169.21
  5. Step 5: Solve for x
    x = 135,158,169.21/12,083.10
  6. Step 6: Final answer
    x = 11,185.72

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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.