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Finding the Fourth Proportional to 8,180.52, 12,270.72 and 2,024.52

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Solution

The fourth proportional to 8,180.52, 12,270.72 and 2,024.52 is: 3,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.52 : 12,270.72 = 2,024.52 : x
  2. Step 2: Convert to fraction form
    8,180.52/12,270.72 = 2,024.52/x
  3. Step 3: Cross multiply
    8,180.52x = 12,270.72 × 2,024.52
  4. Step 4: Simplify right side
    8,180.52x = 24,842,318.05
  5. Step 5: Solve for x
    x = 24,842,318.05/8,180.52
  6. Step 6: Final answer
    x = 3,036.77

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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.