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Finding the Fourth Proportional to 8,086.50, 12,143.25 and 7,480.35

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Solution

The fourth proportional to 8,086.50, 12,143.25 and 7,480.35 is: 11,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.50 : 12,143.25 = 7,480.35 : x
  2. Step 2: Convert to fraction form
    8,086.50/12,143.25 = 7,480.35/x
  3. Step 3: Cross multiply
    8,086.50x = 12,143.25 × 7,480.35
  4. Step 4: Simplify right side
    8,086.50x = 90,835,760.14
  5. Step 5: Solve for x
    x = 90,835,760.14/8,086.50
  6. Step 6: Final answer
    x = 11,233.01

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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.