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Finding the Fourth Proportional to 7,988.57, 11,991.38 and 5,220.80

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Solution

The fourth proportional to 7,988.57, 11,991.38 and 5,220.80 is: 7,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.57 : 11,991.38 = 5,220.80 : x
  2. Step 2: Convert to fraction form
    7,988.57/11,991.38 = 5,220.80/x
  3. Step 3: Cross multiply
    7,988.57x = 11,991.38 × 5,220.80
  4. Step 4: Simplify right side
    7,988.57x = 62,604,510.64
  5. Step 5: Solve for x
    x = 62,604,510.64/7,988.57
  6. Step 6: Final answer
    x = 7,836.77

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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.