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Finding the Fourth Proportional to 8,192.30, 12,288.39 and 2,348.93

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Solution

The fourth proportional to 8,192.30, 12,288.39 and 2,348.93 is: 3,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.30 : 12,288.39 = 2,348.93 : x
  2. Step 2: Convert to fraction form
    8,192.30/12,288.39 = 2,348.93/x
  3. Step 3: Cross multiply
    8,192.30x = 12,288.39 × 2,348.93
  4. Step 4: Simplify right side
    8,192.30x = 28,864,506.48
  5. Step 5: Solve for x
    x = 28,864,506.48/8,192.30
  6. Step 6: Final answer
    x = 3,523.37

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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.