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Finding the Fourth Proportional to 8,249, 12,377.10 and 3,053.48

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Solution

The fourth proportional to 8,249, 12,377.10 and 3,053.48 is: 4,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249 : 12,377.10 = 3,053.48 : x
  2. Step 2: Convert to fraction form
    8,249/12,377.10 = 3,053.48/x
  3. Step 3: Cross multiply
    8,249x = 12,377.10 × 3,053.48
  4. Step 4: Simplify right side
    8,249x = 37,793,227.31
  5. Step 5: Solve for x
    x = 37,793,227.31/8,249
  6. Step 6: Final answer
    x = 4,581.55

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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.