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Finding the Fourth Proportional to 7,986.33, 11,961.27 and 7,052.00

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Solution

The fourth proportional to 7,986.33, 11,961.27 and 7,052.00 is: 10,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.33 : 11,961.27 = 7,052.00 : x
  2. Step 2: Convert to fraction form
    7,986.33/11,961.27 = 7,052.00/x
  3. Step 3: Cross multiply
    7,986.33x = 11,961.27 × 7,052.00
  4. Step 4: Simplify right side
    7,986.33x = 84,350,816.23
  5. Step 5: Solve for x
    x = 84,350,816.23/7,986.33
  6. Step 6: Final answer
    x = 10,561.90

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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.