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Finding the Fourth Proportional to 8,321.44, 12,483.96 and 2,478.52

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Solution

The fourth proportional to 8,321.44, 12,483.96 and 2,478.52 is: 3,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.44 : 12,483.96 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    8,321.44/12,483.96 = 2,478.52/x
  3. Step 3: Cross multiply
    8,321.44x = 12,483.96 × 2,478.52
  4. Step 4: Simplify right side
    8,321.44x = 30,941,744.54
  5. Step 5: Solve for x
    x = 30,941,744.54/8,321.44
  6. Step 6: Final answer
    x = 3,718.32

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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.