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Finding the Fourth Proportional to 7,687.80, 11,524.41 and 7,002.99

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Solution

The fourth proportional to 7,687.80, 11,524.41 and 7,002.99 is: 10,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.80 : 11,524.41 = 7,002.99 : x
  2. Step 2: Convert to fraction form
    7,687.80/11,524.41 = 7,002.99/x
  3. Step 3: Cross multiply
    7,687.80x = 11,524.41 × 7,002.99
  4. Step 4: Simplify right side
    7,687.80x = 80,705,327.99
  5. Step 5: Solve for x
    x = 80,705,327.99/7,687.80
  6. Step 6: Final answer
    x = 10,497.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.