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Finding the Fourth Proportional to 8,389.44, 11,581.44 and 5,668.80

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Solution

The fourth proportional to 8,389.44, 11,581.44 and 5,668.80 is: 7,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.44 : 11,581.44 = 5,668.80 : x
  2. Step 2: Convert to fraction form
    8,389.44/11,581.44 = 5,668.80/x
  3. Step 3: Cross multiply
    8,389.44x = 11,581.44 × 5,668.80
  4. Step 4: Simplify right side
    8,389.44x = 65,652,867.07
  5. Step 5: Solve for x
    x = 65,652,867.07/8,389.44
  6. Step 6: Final answer
    x = 7,825.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.