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Finding the Fourth Proportional to 8,284.44, 12,426.66 and 5,679.48

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Solution

The fourth proportional to 8,284.44, 12,426.66 and 5,679.48 is: 8,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.44 : 12,426.66 = 5,679.48 : x
  2. Step 2: Convert to fraction form
    8,284.44/12,426.66 = 5,679.48/x
  3. Step 3: Cross multiply
    8,284.44x = 12,426.66 × 5,679.48
  4. Step 4: Simplify right side
    8,284.44x = 70,576,966.94
  5. Step 5: Solve for x
    x = 70,576,966.94/8,284.44
  6. Step 6: Final answer
    x = 8,519.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.