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Finding the Fourth Proportional to 8,264.69, 12,400.07 and 3,824.49

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Solution

The fourth proportional to 8,264.69, 12,400.07 and 3,824.49 is: 5,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.69 : 12,400.07 = 3,824.49 : x
  2. Step 2: Convert to fraction form
    8,264.69/12,400.07 = 3,824.49/x
  3. Step 3: Cross multiply
    8,264.69x = 12,400.07 × 3,824.49
  4. Step 4: Simplify right side
    8,264.69x = 47,423,943.71
  5. Step 5: Solve for x
    x = 47,423,943.71/8,264.69
  6. Step 6: Final answer
    x = 5,738.14

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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.