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Finding the Fourth Proportional to 7,536.80, 11,301.06 and 5,986.73

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Solution

The fourth proportional to 7,536.80, 11,301.06 and 5,986.73 is: 8,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.80 : 11,301.06 = 5,986.73 : x
  2. Step 2: Convert to fraction form
    7,536.80/11,301.06 = 5,986.73/x
  3. Step 3: Cross multiply
    7,536.80x = 11,301.06 × 5,986.73
  4. Step 4: Simplify right side
    7,536.80x = 67,656,438.15
  5. Step 5: Solve for x
    x = 67,656,438.15/7,536.80
  6. Step 6: Final answer
    x = 8,976.81

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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.