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Finding the Fourth Proportional to 8,512.70, 11,744.04 and 6,149.66

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Solution

The fourth proportional to 8,512.70, 11,744.04 and 6,149.66 is: 8,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.70 : 11,744.04 = 6,149.66 : x
  2. Step 2: Convert to fraction form
    8,512.70/11,744.04 = 6,149.66/x
  3. Step 3: Cross multiply
    8,512.70x = 11,744.04 × 6,149.66
  4. Step 4: Simplify right side
    8,512.70x = 72,221,853.03
  5. Step 5: Solve for x
    x = 72,221,853.03/8,512.70
  6. Step 6: Final answer
    x = 8,484.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.