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Finding the Fourth Proportional to 8,385.27, 11,571.98 and 4,608.86

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Solution

The fourth proportional to 8,385.27, 11,571.98 and 4,608.86 is: 6,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.27 : 11,571.98 = 4,608.86 : x
  2. Step 2: Convert to fraction form
    8,385.27/11,571.98 = 4,608.86/x
  3. Step 3: Cross multiply
    8,385.27x = 11,571.98 × 4,608.86
  4. Step 4: Simplify right side
    8,385.27x = 53,333,635.74
  5. Step 5: Solve for x
    x = 53,333,635.74/8,385.27
  6. Step 6: Final answer
    x = 6,360.40

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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.