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Finding the Fourth Proportional to 8,057.92, 12,095.52 and 3,444.16

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Solution

The fourth proportional to 8,057.92, 12,095.52 and 3,444.16 is: 5,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.92 : 12,095.52 = 3,444.16 : x
  2. Step 2: Convert to fraction form
    8,057.92/12,095.52 = 3,444.16/x
  3. Step 3: Cross multiply
    8,057.92x = 12,095.52 × 3,444.16
  4. Step 4: Simplify right side
    8,057.92x = 41,658,906.16
  5. Step 5: Solve for x
    x = 41,658,906.16/8,057.92
  6. Step 6: Final answer
    x = 5,169.93

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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.