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Finding the Fourth Proportional to 8,549.28, 11,797.38 and 5,014.44

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Solution

The fourth proportional to 8,549.28, 11,797.38 and 5,014.44 is: 6,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.28 : 11,797.38 = 5,014.44 : x
  2. Step 2: Convert to fraction form
    8,549.28/11,797.38 = 5,014.44/x
  3. Step 3: Cross multiply
    8,549.28x = 11,797.38 × 5,014.44
  4. Step 4: Simplify right side
    8,549.28x = 59,157,254.17
  5. Step 5: Solve for x
    x = 59,157,254.17/8,549.28
  6. Step 6: Final answer
    x = 6,919.56

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Why These Related Problems?

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