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Finding the Fourth Proportional to 8,392.25, 12,589.74 and 2,846.23

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Solution

The fourth proportional to 8,392.25, 12,589.74 and 2,846.23 is: 4,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.25 : 12,589.74 = 2,846.23 : x
  2. Step 2: Convert to fraction form
    8,392.25/12,589.74 = 2,846.23/x
  3. Step 3: Cross multiply
    8,392.25x = 12,589.74 × 2,846.23
  4. Step 4: Simplify right side
    8,392.25x = 35,833,264.21
  5. Step 5: Solve for x
    x = 35,833,264.21/8,392.25
  6. Step 6: Final answer
    x = 4,269.80

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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.