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Finding the Fourth Proportional to 11,536.87, 17,291.02 and 8,199.80

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Solution

The fourth proportional to 11,536.87, 17,291.02 and 8,199.80 is: 12,289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.87 : 17,291.02 = 8,199.80 : x
  2. Step 2: Convert to fraction form
    11,536.87/17,291.02 = 8,199.80/x
  3. Step 3: Cross multiply
    11,536.87x = 17,291.02 × 8,199.80
  4. Step 4: Simplify right side
    11,536.87x = 141,782,905.80
  5. Step 5: Solve for x
    x = 141,782,905.80/11,536.87
  6. Step 6: Final answer
    x = 12,289.55

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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.