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Finding the Fourth Proportional to 11,698.76, 16,144.50 and 6,393.80

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Solution

The fourth proportional to 11,698.76, 16,144.50 and 6,393.80 is: 8,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.76 : 16,144.50 = 6,393.80 : x
  2. Step 2: Convert to fraction form
    11,698.76/16,144.50 = 6,393.80/x
  3. Step 3: Cross multiply
    11,698.76x = 16,144.50 × 6,393.80
  4. Step 4: Simplify right side
    11,698.76x = 103,224,704.10
  5. Step 5: Solve for x
    x = 103,224,704.10/11,698.76
  6. Step 6: Final answer
    x = 8,823.56

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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.