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Finding the Fourth Proportional to 8,344.44, 11,515.34 and 5,200.63

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Solution

The fourth proportional to 8,344.44, 11,515.34 and 5,200.63 is: 7,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.44 : 11,515.34 = 5,200.63 : x
  2. Step 2: Convert to fraction form
    8,344.44/11,515.34 = 5,200.63/x
  3. Step 3: Cross multiply
    8,344.44x = 11,515.34 × 5,200.63
  4. Step 4: Simplify right side
    8,344.44x = 59,886,939.08
  5. Step 5: Solve for x
    x = 59,886,939.08/8,344.44
  6. Step 6: Final answer
    x = 7,176.87

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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.