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Finding the Fourth Proportional to 12,110.10, 16,717.62 and 8,083.65

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Solution

The fourth proportional to 12,110.10, 16,717.62 and 8,083.65 is: 11,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.10 : 16,717.62 = 8,083.65 : x
  2. Step 2: Convert to fraction form
    12,110.10/16,717.62 = 8,083.65/x
  3. Step 3: Cross multiply
    12,110.10x = 16,717.62 × 8,083.65
  4. Step 4: Simplify right side
    12,110.10x = 135,139,388.91
  5. Step 5: Solve for x
    x = 135,139,388.91/12,110.10
  6. Step 6: Final answer
    x = 11,159.23

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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.