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Finding the Fourth Proportional to 8,296.43, 12,444.32 and 3,364.74

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Solution

The fourth proportional to 8,296.43, 12,444.32 and 3,364.74 is: 5,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.43 : 12,444.32 = 3,364.74 : x
  2. Step 2: Convert to fraction form
    8,296.43/12,444.32 = 3,364.74/x
  3. Step 3: Cross multiply
    8,296.43x = 12,444.32 × 3,364.74
  4. Step 4: Simplify right side
    8,296.43x = 41,871,909.69
  5. Step 5: Solve for x
    x = 41,871,909.69/8,296.43
  6. Step 6: Final answer
    x = 5,046.98

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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.