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Finding the Fourth Proportional to 8,255.76, 11,422.49 and 7,210.86

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Solution

The fourth proportional to 8,255.76, 11,422.49 and 7,210.86 is: 9,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.76 : 11,422.49 = 7,210.86 : x
  2. Step 2: Convert to fraction form
    8,255.76/11,422.49 = 7,210.86/x
  3. Step 3: Cross multiply
    8,255.76x = 11,422.49 × 7,210.86
  4. Step 4: Simplify right side
    8,255.76x = 82,365,897.35
  5. Step 5: Solve for x
    x = 82,365,897.35/8,255.76
  6. Step 6: Final answer
    x = 9,976.78

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