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Finding the Fourth Proportional to 8,392.94, 12,589.69 and 2,549.53

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Solution

The fourth proportional to 8,392.94, 12,589.69 and 2,549.53 is: 3,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.94 : 12,589.69 = 2,549.53 : x
  2. Step 2: Convert to fraction form
    8,392.94/12,589.69 = 2,549.53/x
  3. Step 3: Cross multiply
    8,392.94x = 12,589.69 × 2,549.53
  4. Step 4: Simplify right side
    8,392.94x = 32,097,806.49
  5. Step 5: Solve for x
    x = 32,097,806.49/8,392.94
  6. Step 6: Final answer
    x = 3,824.38

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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.