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Finding the Fourth Proportional to 8,092.82, 12,140.85 and 2,898.02

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Solution

The fourth proportional to 8,092.82, 12,140.85 and 2,898.02 is: 4,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.82 : 12,140.85 = 2,898.02 : x
  2. Step 2: Convert to fraction form
    8,092.82/12,140.85 = 2,898.02/x
  3. Step 3: Cross multiply
    8,092.82x = 12,140.85 × 2,898.02
  4. Step 4: Simplify right side
    8,092.82x = 35,184,426.12
  5. Step 5: Solve for x
    x = 35,184,426.12/8,092.82
  6. Step 6: Final answer
    x = 4,347.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.