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Finding the Fourth Proportional to 8,401.50, 12,593.70 and 3,473.82

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Solution

The fourth proportional to 8,401.50, 12,593.70 and 3,473.82 is: 5,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.50 : 12,593.70 = 3,473.82 : x
  2. Step 2: Convert to fraction form
    8,401.50/12,593.70 = 3,473.82/x
  3. Step 3: Cross multiply
    8,401.50x = 12,593.70 × 3,473.82
  4. Step 4: Simplify right side
    8,401.50x = 43,748,246.93
  5. Step 5: Solve for x
    x = 43,748,246.93/8,401.50
  6. Step 6: Final answer
    x = 5,207.19

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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.