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Finding the Fourth Proportional to 8,446.16, 12,664.38 and 2,601.20

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Solution

The fourth proportional to 8,446.16, 12,664.38 and 2,601.20 is: 3,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.16 : 12,664.38 = 2,601.20 : x
  2. Step 2: Convert to fraction form
    8,446.16/12,664.38 = 2,601.20/x
  3. Step 3: Cross multiply
    8,446.16x = 12,664.38 × 2,601.20
  4. Step 4: Simplify right side
    8,446.16x = 32,942,585.26
  5. Step 5: Solve for x
    x = 32,942,585.26/8,446.16
  6. Step 6: Final answer
    x = 3,900.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.