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Finding the Fourth Proportional to 11,698.70, 16,144.61 and 6,393.87

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Solution

The fourth proportional to 11,698.70, 16,144.61 and 6,393.87 is: 8,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.70 : 16,144.61 = 6,393.87 : x
  2. Step 2: Convert to fraction form
    11,698.70/16,144.61 = 6,393.87/x
  3. Step 3: Cross multiply
    11,698.70x = 16,144.61 × 6,393.87
  4. Step 4: Simplify right side
    11,698.70x = 103,226,505.57
  5. Step 5: Solve for x
    x = 103,226,505.57/11,698.70
  6. Step 6: Final answer
    x = 8,823.76

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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.