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Finding the Fourth Proportional to 8,092.02, 12,138.03 and 2,898.03

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Solution

The fourth proportional to 8,092.02, 12,138.03 and 2,898.03 is: 4,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.02 : 12,138.03 = 2,898.03 : x
  2. Step 2: Convert to fraction form
    8,092.02/12,138.03 = 2,898.03/x
  3. Step 3: Cross multiply
    8,092.02x = 12,138.03 × 2,898.03
  4. Step 4: Simplify right side
    8,092.02x = 35,176,375.08
  5. Step 5: Solve for x
    x = 35,176,375.08/8,092.02
  6. Step 6: Final answer
    x = 4,347.05

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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.