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Finding the Fourth Proportional to 8,334.34, 12,494.15 and 3,143.86

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Solution

The fourth proportional to 8,334.34, 12,494.15 and 3,143.86 is: 4,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.34 : 12,494.15 = 3,143.86 : x
  2. Step 2: Convert to fraction form
    8,334.34/12,494.15 = 3,143.86/x
  3. Step 3: Cross multiply
    8,334.34x = 12,494.15 × 3,143.86
  4. Step 4: Simplify right side
    8,334.34x = 39,279,780.23
  5. Step 5: Solve for x
    x = 39,279,780.23/8,334.34
  6. Step 6: Final answer
    x = 4,713.01

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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.