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Finding the Fourth Proportional to 8,254.38, 12,381.96 and 2,705.46

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Solution

The fourth proportional to 8,254.38, 12,381.96 and 2,705.46 is: 4,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.38 : 12,381.96 = 2,705.46 : x
  2. Step 2: Convert to fraction form
    8,254.38/12,381.96 = 2,705.46/x
  3. Step 3: Cross multiply
    8,254.38x = 12,381.96 × 2,705.46
  4. Step 4: Simplify right side
    8,254.38x = 33,498,897.50
  5. Step 5: Solve for x
    x = 33,498,897.50/8,254.38
  6. Step 6: Final answer
    x = 4,058.32

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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.