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Finding the Fourth Proportional to 8,244.66, 12,366.81 and 2,004.71

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Solution

The fourth proportional to 8,244.66, 12,366.81 and 2,004.71 is: 3,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.66 : 12,366.81 = 2,004.71 : x
  2. Step 2: Convert to fraction form
    8,244.66/12,366.81 = 2,004.71/x
  3. Step 3: Cross multiply
    8,244.66x = 12,366.81 × 2,004.71
  4. Step 4: Simplify right side
    8,244.66x = 24,791,867.68
  5. Step 5: Solve for x
    x = 24,791,867.68/8,244.66
  6. Step 6: Final answer
    x = 3,007.02

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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.