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Finding the Fourth Proportional to 8,192.25, 12,288.36 and 2,348.86

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Solution

The fourth proportional to 8,192.25, 12,288.36 and 2,348.86 is: 3,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.25 : 12,288.36 = 2,348.86 : x
  2. Step 2: Convert to fraction form
    8,192.25/12,288.36 = 2,348.86/x
  3. Step 3: Cross multiply
    8,192.25x = 12,288.36 × 2,348.86
  4. Step 4: Simplify right side
    8,192.25x = 28,863,642.47
  5. Step 5: Solve for x
    x = 28,863,642.47/8,192.25
  6. Step 6: Final answer
    x = 3,523.29

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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.