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Finding the Fourth Proportional to 8,252.16, 12,380.04 and 2,409.30

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Solution

The fourth proportional to 8,252.16, 12,380.04 and 2,409.30 is: 3,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.16 : 12,380.04 = 2,409.30 : x
  2. Step 2: Convert to fraction form
    8,252.16/12,380.04 = 2,409.30/x
  3. Step 3: Cross multiply
    8,252.16x = 12,380.04 × 2,409.30
  4. Step 4: Simplify right side
    8,252.16x = 29,827,230.37
  5. Step 5: Solve for x
    x = 29,827,230.37/8,252.16
  6. Step 6: Final answer
    x = 3,614.48

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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.