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Finding the Fourth Proportional to 8,132.77, 11,226.36 and 6,994

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Solution

The fourth proportional to 8,132.77, 11,226.36 and 6,994 is: 9,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.77 : 11,226.36 = 6,994 : x
  2. Step 2: Convert to fraction form
    8,132.77/11,226.36 = 6,994/x
  3. Step 3: Cross multiply
    8,132.77x = 11,226.36 × 6,994
  4. Step 4: Simplify right side
    8,132.77x = 78,517,161.84
  5. Step 5: Solve for x
    x = 78,517,161.84/8,132.77
  6. Step 6: Final answer
    x = 9,654.42

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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.