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Finding the Fourth Proportional to 7,536.87, 11,301.16 and 5,986.80

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Solution

The fourth proportional to 7,536.87, 11,301.16 and 5,986.80 is: 8,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.87 : 11,301.16 = 5,986.80 : x
  2. Step 2: Convert to fraction form
    7,536.87/11,301.16 = 5,986.80/x
  3. Step 3: Cross multiply
    7,536.87x = 11,301.16 × 5,986.80
  4. Step 4: Simplify right side
    7,536.87x = 67,657,713.22
  5. Step 5: Solve for x
    x = 67,657,713.22/7,536.87
  6. Step 6: Final answer
    x = 8,976.90

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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.