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Finding the Fourth Proportional to 8,440.96, 12,659.52 and 3,244.16

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Solution

The fourth proportional to 8,440.96, 12,659.52 and 3,244.16 is: 4,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.96 : 12,659.52 = 3,244.16 : x
  2. Step 2: Convert to fraction form
    8,440.96/12,659.52 = 3,244.16/x
  3. Step 3: Cross multiply
    8,440.96x = 12,659.52 × 3,244.16
  4. Step 4: Simplify right side
    8,440.96x = 41,069,508.40
  5. Step 5: Solve for x
    x = 41,069,508.40/8,440.96
  6. Step 6: Final answer
    x = 4,865.50

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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.