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Finding the Fourth Proportional to 6,511.60, 9,000.77 and 5,994.91

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Solution

The fourth proportional to 6,511.60, 9,000.77 and 5,994.91 is: 8,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.60 : 9,000.77 = 5,994.91 : x
  2. Step 2: Convert to fraction form
    6,511.60/9,000.77 = 5,994.91/x
  3. Step 3: Cross multiply
    6,511.60x = 9,000.77 × 5,994.91
  4. Step 4: Simplify right side
    6,511.60x = 53,958,753.60
  5. Step 5: Solve for x
    x = 53,958,753.60/6,511.60
  6. Step 6: Final answer
    x = 8,286.56

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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.