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Finding the Fourth Proportional to 8,313.32, 12,467.75 and 2,468.54

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Solution

The fourth proportional to 8,313.32, 12,467.75 and 2,468.54 is: 3,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.32 : 12,467.75 = 2,468.54 : x
  2. Step 2: Convert to fraction form
    8,313.32/12,467.75 = 2,468.54/x
  3. Step 3: Cross multiply
    8,313.32x = 12,467.75 × 2,468.54
  4. Step 4: Simplify right side
    8,313.32x = 30,777,064.90
  5. Step 5: Solve for x
    x = 30,777,064.90/8,313.32
  6. Step 6: Final answer
    x = 3,702.14

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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.