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Finding the Fourth Proportional to 7,705.72, 11,553.36 and 3,022.80

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Solution

The fourth proportional to 7,705.72, 11,553.36 and 3,022.80 is: 4,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.72 : 11,553.36 = 3,022.80 : x
  2. Step 2: Convert to fraction form
    7,705.72/11,553.36 = 3,022.80/x
  3. Step 3: Cross multiply
    7,705.72x = 11,553.36 × 3,022.80
  4. Step 4: Simplify right side
    7,705.72x = 34,923,496.61
  5. Step 5: Solve for x
    x = 34,923,496.61/7,705.72
  6. Step 6: Final answer
    x = 4,532.15

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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.