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Finding the Fourth Proportional to 8,256.52, 12,381.54 and 3,325.24

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Solution

The fourth proportional to 8,256.52, 12,381.54 and 3,325.24 is: 4,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.52 : 12,381.54 = 3,325.24 : x
  2. Step 2: Convert to fraction form
    8,256.52/12,381.54 = 3,325.24/x
  3. Step 3: Cross multiply
    8,256.52x = 12,381.54 × 3,325.24
  4. Step 4: Simplify right side
    8,256.52x = 41,171,592.07
  5. Step 5: Solve for x
    x = 41,171,592.07/8,256.52
  6. Step 6: Final answer
    x = 4,986.56

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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.