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Finding the Fourth Proportional to 8,225.48, 12,339.06 and 3,844.24

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Solution

The fourth proportional to 8,225.48, 12,339.06 and 3,844.24 is: 5,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.48 : 12,339.06 = 3,844.24 : x
  2. Step 2: Convert to fraction form
    8,225.48/12,339.06 = 3,844.24/x
  3. Step 3: Cross multiply
    8,225.48x = 12,339.06 × 3,844.24
  4. Step 4: Simplify right side
    8,225.48x = 47,434,308.01
  5. Step 5: Solve for x
    x = 47,434,308.01/8,225.48
  6. Step 6: Final answer
    x = 5,766.75

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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.