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Finding the Fourth Proportional to 8,104.99, 12,162.95 and 3,174.01

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Solution

The fourth proportional to 8,104.99, 12,162.95 and 3,174.01 is: 4,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.99 : 12,162.95 = 3,174.01 : x
  2. Step 2: Convert to fraction form
    8,104.99/12,162.95 = 3,174.01/x
  3. Step 3: Cross multiply
    8,104.99x = 12,162.95 × 3,174.01
  4. Step 4: Simplify right side
    8,104.99x = 38,605,348.07
  5. Step 5: Solve for x
    x = 38,605,348.07/8,104.99
  6. Step 6: Final answer
    x = 4,763.16

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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.