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Finding the Fourth Proportional to 8,092.08, 12,142.84 and 3,411.80

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Solution

The fourth proportional to 8,092.08, 12,142.84 and 3,411.80 is: 5,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.08 : 12,142.84 = 3,411.80 : x
  2. Step 2: Convert to fraction form
    8,092.08/12,142.84 = 3,411.80/x
  3. Step 3: Cross multiply
    8,092.08x = 12,142.84 × 3,411.80
  4. Step 4: Simplify right side
    8,092.08x = 41,428,941.51
  5. Step 5: Solve for x
    x = 41,428,941.51/8,092.08
  6. Step 6: Final answer
    x = 5,119.69

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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.