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Finding the Fourth Proportional to 8,490.15, 12,731.99 and 3,294.81

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Solution

The fourth proportional to 8,490.15, 12,731.99 and 3,294.81 is: 4,940.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.15 : 12,731.99 = 3,294.81 : x
  2. Step 2: Convert to fraction form
    8,490.15/12,731.99 = 3,294.81/x
  3. Step 3: Cross multiply
    8,490.15x = 12,731.99 × 3,294.81
  4. Step 4: Simplify right side
    8,490.15x = 41,949,471.50
  5. Step 5: Solve for x
    x = 41,949,471.50/8,490.15
  6. Step 6: Final answer
    x = 4,940.96

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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.