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Finding the Fourth Proportional to 8,578.34, 12,867.48 and 5,635.36

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Solution

The fourth proportional to 8,578.34, 12,867.48 and 5,635.36 is: 8,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.34 : 12,867.48 = 5,635.36 : x
  2. Step 2: Convert to fraction form
    8,578.34/12,867.48 = 5,635.36/x
  3. Step 3: Cross multiply
    8,578.34x = 12,867.48 × 5,635.36
  4. Step 4: Simplify right side
    8,578.34x = 72,512,882.09
  5. Step 5: Solve for x
    x = 72,512,882.09/8,578.34
  6. Step 6: Final answer
    x = 8,453.02

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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.