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Finding the Fourth Proportional to 7,692.66, 10,624.23 and 6,698.79

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Solution

The fourth proportional to 7,692.66, 10,624.23 and 6,698.79 is: 9,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.66 : 10,624.23 = 6,698.79 : x
  2. Step 2: Convert to fraction form
    7,692.66/10,624.23 = 6,698.79/x
  3. Step 3: Cross multiply
    7,692.66x = 10,624.23 × 6,698.79
  4. Step 4: Simplify right side
    7,692.66x = 71,169,485.68
  5. Step 5: Solve for x
    x = 71,169,485.68/7,692.66
  6. Step 6: Final answer
    x = 9,251.61

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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.