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Finding the Fourth Proportional to 11,612.25, 16,032.48 and 8,083.89

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Solution

The fourth proportional to 11,612.25, 16,032.48 and 8,083.89 is: 11,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.25 : 16,032.48 = 8,083.89 : x
  2. Step 2: Convert to fraction form
    11,612.25/16,032.48 = 8,083.89/x
  3. Step 3: Cross multiply
    11,612.25x = 16,032.48 × 8,083.89
  4. Step 4: Simplify right side
    11,612.25x = 129,604,804.75
  5. Step 5: Solve for x
    x = 129,604,804.75/11,612.25
  6. Step 6: Final answer
    x = 11,161.04

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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.