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Finding the Fourth Proportional to 8,092.43, 11,139.48 and 6,977.06

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Solution

The fourth proportional to 8,092.43, 11,139.48 and 6,977.06 is: 9,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.43 : 11,139.48 = 6,977.06 : x
  2. Step 2: Convert to fraction form
    8,092.43/11,139.48 = 6,977.06/x
  3. Step 3: Cross multiply
    8,092.43x = 11,139.48 × 6,977.06
  4. Step 4: Simplify right side
    8,092.43x = 77,720,764.63
  5. Step 5: Solve for x
    x = 77,720,764.63/8,092.43
  6. Step 6: Final answer
    x = 9,604.14

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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.