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Finding the Fourth Proportional to 10,874.51, 16,314.19 and 3,479.41

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Solution

The fourth proportional to 10,874.51, 16,314.19 and 3,479.41 is: 5,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.51 : 16,314.19 = 3,479.41 : x
  2. Step 2: Convert to fraction form
    10,874.51/16,314.19 = 3,479.41/x
  3. Step 3: Cross multiply
    10,874.51x = 16,314.19 × 3,479.41
  4. Step 4: Simplify right side
    10,874.51x = 56,763,755.83
  5. Step 5: Solve for x
    x = 56,763,755.83/10,874.51
  6. Step 6: Final answer
    x = 5,219.89

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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.