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Finding the Fourth Proportional to 12,247.48, 18,363.92 and 4,853

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Solution

The fourth proportional to 12,247.48, 18,363.92 and 4,853 is: 7,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,247.48 : 18,363.92 = 4,853 : x
  2. Step 2: Convert to fraction form
    12,247.48/18,363.92 = 4,853/x
  3. Step 3: Cross multiply
    12,247.48x = 18,363.92 × 4,853
  4. Step 4: Simplify right side
    12,247.48x = 89,120,103.76
  5. Step 5: Solve for x
    x = 89,120,103.76/12,247.48
  6. Step 6: Final answer
    x = 7,276.61

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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.