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Finding the Fourth Proportional to 8,568.29, 11,824.71 and 4,791.40

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Solution

The fourth proportional to 8,568.29, 11,824.71 and 4,791.40 is: 6,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.29 : 11,824.71 = 4,791.40 : x
  2. Step 2: Convert to fraction form
    8,568.29/11,824.71 = 4,791.40/x
  3. Step 3: Cross multiply
    8,568.29x = 11,824.71 × 4,791.40
  4. Step 4: Simplify right side
    8,568.29x = 56,656,915.49
  5. Step 5: Solve for x
    x = 56,656,915.49/8,568.29
  6. Step 6: Final answer
    x = 6,612.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.