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Finding the Fourth Proportional to 8,091.43, 11,138.10 and 6,976.06

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Solution

The fourth proportional to 8,091.43, 11,138.10 and 6,976.06 is: 9,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.43 : 11,138.10 = 6,976.06 : x
  2. Step 2: Convert to fraction form
    8,091.43/11,138.10 = 6,976.06/x
  3. Step 3: Cross multiply
    8,091.43x = 11,138.10 × 6,976.06
  4. Step 4: Simplify right side
    8,091.43x = 77,700,053.89
  5. Step 5: Solve for x
    x = 77,700,053.89/8,091.43
  6. Step 6: Final answer
    x = 9,602.76

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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.