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Finding the Fourth Proportional to 8,192.38, 12,292.20 and 4,295.86

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Solution

The fourth proportional to 8,192.38, 12,292.20 and 4,295.86 is: 6,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.38 : 12,292.20 = 4,295.86 : x
  2. Step 2: Convert to fraction form
    8,192.38/12,292.20 = 4,295.86/x
  3. Step 3: Cross multiply
    8,192.38x = 12,292.20 × 4,295.86
  4. Step 4: Simplify right side
    8,192.38x = 52,805,570.29
  5. Step 5: Solve for x
    x = 52,805,570.29/8,192.38
  6. Step 6: Final answer
    x = 6,445.69

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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.