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Finding the Fourth Proportional to 8,348.13, 11,520.57 and 4,571.24

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Solution

The fourth proportional to 8,348.13, 11,520.57 and 4,571.24 is: 6,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.13 : 11,520.57 = 4,571.24 : x
  2. Step 2: Convert to fraction form
    8,348.13/11,520.57 = 4,571.24/x
  3. Step 3: Cross multiply
    8,348.13x = 11,520.57 × 4,571.24
  4. Step 4: Simplify right side
    8,348.13x = 52,663,258.86
  5. Step 5: Solve for x
    x = 52,663,258.86/8,348.13
  6. Step 6: Final answer
    x = 6,308.39

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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.