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Finding the Fourth Proportional to 8,196.78, 11,311.53 and 4,470.78

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Solution

The fourth proportional to 8,196.78, 11,311.53 and 4,470.78 is: 6,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.78 : 11,311.53 = 4,470.78 : x
  2. Step 2: Convert to fraction form
    8,196.78/11,311.53 = 4,470.78/x
  3. Step 3: Cross multiply
    8,196.78x = 11,311.53 × 4,470.78
  4. Step 4: Simplify right side
    8,196.78x = 50,571,362.09
  5. Step 5: Solve for x
    x = 50,571,362.09/8,196.78
  6. Step 6: Final answer
    x = 6,169.66

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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.