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Finding the Fourth Proportional to 8,344.56, 11,515.51 and 5,200.75

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Solution

The fourth proportional to 8,344.56, 11,515.51 and 5,200.75 is: 7,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.56 : 11,515.51 = 5,200.75 : x
  2. Step 2: Convert to fraction form
    8,344.56/11,515.51 = 5,200.75/x
  3. Step 3: Cross multiply
    8,344.56x = 11,515.51 × 5,200.75
  4. Step 4: Simplify right side
    8,344.56x = 59,889,288.63
  5. Step 5: Solve for x
    x = 59,889,288.63/8,344.56
  6. Step 6: Final answer
    x = 7,177.05

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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.