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Finding the Fourth Proportional to 8,104.16, 12,156 and 3,359.84

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Solution

The fourth proportional to 8,104.16, 12,156 and 3,359.84 is: 5,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.16 : 12,156 = 3,359.84 : x
  2. Step 2: Convert to fraction form
    8,104.16/12,156 = 3,359.84/x
  3. Step 3: Cross multiply
    8,104.16x = 12,156 × 3,359.84
  4. Step 4: Simplify right side
    8,104.16x = 40,842,215.04
  5. Step 5: Solve for x
    x = 40,842,215.04/8,104.16
  6. Step 6: Final answer
    x = 5,039.66

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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.