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Finding the Fourth Proportional to 8,261.84, 12,392.76 and 3,578.04

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Solution

The fourth proportional to 8,261.84, 12,392.76 and 3,578.04 is: 5,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.84 : 12,392.76 = 3,578.04 : x
  2. Step 2: Convert to fraction form
    8,261.84/12,392.76 = 3,578.04/x
  3. Step 3: Cross multiply
    8,261.84x = 12,392.76 × 3,578.04
  4. Step 4: Simplify right side
    8,261.84x = 44,341,790.99
  5. Step 5: Solve for x
    x = 44,341,790.99/8,261.84
  6. Step 6: Final answer
    x = 5,367.06

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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.