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Finding the Fourth Proportional to 8,549.28, 11,770.56 and 7,444.80

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Solution

The fourth proportional to 8,549.28, 11,770.56 and 7,444.80 is: 10,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.28 : 11,770.56 = 7,444.80 : x
  2. Step 2: Convert to fraction form
    8,549.28/11,770.56 = 7,444.80/x
  3. Step 3: Cross multiply
    8,549.28x = 11,770.56 × 7,444.80
  4. Step 4: Simplify right side
    8,549.28x = 87,629,465.09
  5. Step 5: Solve for x
    x = 87,629,465.09/8,549.28
  6. Step 6: Final answer
    x = 10,249.92

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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.