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Finding the Fourth Proportional to 8,331.78, 12,494 and 3,134

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Solution

The fourth proportional to 8,331.78, 12,494 and 3,134 is: 4,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.78 : 12,494 = 3,134 : x
  2. Step 2: Convert to fraction form
    8,331.78/12,494 = 3,134/x
  3. Step 3: Cross multiply
    8,331.78x = 12,494 × 3,134
  4. Step 4: Simplify right side
    8,331.78x = 39,156,196
  5. Step 5: Solve for x
    x = 39,156,196/8,331.78
  6. Step 6: Final answer
    x = 4,699.62

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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.