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Finding the Fourth Proportional to 8,005.96, 12,010.38 and 4,107.16

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Solution

The fourth proportional to 8,005.96, 12,010.38 and 4,107.16 is: 6,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.96 : 12,010.38 = 4,107.16 : x
  2. Step 2: Convert to fraction form
    8,005.96/12,010.38 = 4,107.16/x
  3. Step 3: Cross multiply
    8,005.96x = 12,010.38 × 4,107.16
  4. Step 4: Simplify right side
    8,005.96x = 49,328,552.32
  5. Step 5: Solve for x
    x = 49,328,552.32/8,005.96
  6. Step 6: Final answer
    x = 6,161.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.