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Finding the Fourth Proportional to 8,577.28, 11,824.32 and 6,057.28

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Solution

The fourth proportional to 8,577.28, 11,824.32 and 6,057.28 is: 8,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.28 : 11,824.32 = 6,057.28 : x
  2. Step 2: Convert to fraction form
    8,577.28/11,824.32 = 6,057.28/x
  3. Step 3: Cross multiply
    8,577.28x = 11,824.32 × 6,057.28
  4. Step 4: Simplify right side
    8,577.28x = 71,623,217.05
  5. Step 5: Solve for x
    x = 71,623,217.05/8,577.28
  6. Step 6: Final answer
    x = 8,350.34

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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.