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Finding the Fourth Proportional to 8,493.84, 12,741.77 and 4,108.14

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Solution

The fourth proportional to 8,493.84, 12,741.77 and 4,108.14 is: 6,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.84 : 12,741.77 = 4,108.14 : x
  2. Step 2: Convert to fraction form
    8,493.84/12,741.77 = 4,108.14/x
  3. Step 3: Cross multiply
    8,493.84x = 12,741.77 × 4,108.14
  4. Step 4: Simplify right side
    8,493.84x = 52,344,954.47
  5. Step 5: Solve for x
    x = 52,344,954.47/8,493.84
  6. Step 6: Final answer
    x = 6,162.70

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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.