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Finding the Fourth Proportional to 8,378.24, 12,578.91 and 5,435.12

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Solution

The fourth proportional to 8,378.24, 12,578.91 and 5,435.12 is: 8,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.24 : 12,578.91 = 5,435.12 : x
  2. Step 2: Convert to fraction form
    8,378.24/12,578.91 = 5,435.12/x
  3. Step 3: Cross multiply
    8,378.24x = 12,578.91 × 5,435.12
  4. Step 4: Simplify right side
    8,378.24x = 68,367,885.32
  5. Step 5: Solve for x
    x = 68,367,885.32/8,378.24
  6. Step 6: Final answer
    x = 8,160.17

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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.