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Finding the Fourth Proportional to 7,789.72, 10,692.62 and 6,885.76

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Solution

The fourth proportional to 7,789.72, 10,692.62 and 6,885.76 is: 9,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.72 : 10,692.62 = 6,885.76 : x
  2. Step 2: Convert to fraction form
    7,789.72/10,692.62 = 6,885.76/x
  3. Step 3: Cross multiply
    7,789.72x = 10,692.62 × 6,885.76
  4. Step 4: Simplify right side
    7,789.72x = 73,626,815.09
  5. Step 5: Solve for x
    x = 73,626,815.09/7,789.72
  6. Step 6: Final answer
    x = 9,451.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.