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Finding the Fourth Proportional to 8,178, 12,264.44 and 2,982.48

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Solution

The fourth proportional to 8,178, 12,264.44 and 2,982.48 is: 4,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 12,264.44 = 2,982.48 : x
  2. Step 2: Convert to fraction form
    8,178/12,264.44 = 2,982.48/x
  3. Step 3: Cross multiply
    8,178x = 12,264.44 × 2,982.48
  4. Step 4: Simplify right side
    8,178x = 36,578,447.01
  5. Step 5: Solve for x
    x = 36,578,447.01/8,178
  6. Step 6: Final answer
    x = 4,472.79

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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.