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Finding the Fourth Proportional to 11,698.72, 16,144.25 and 6,393.56

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Solution

The fourth proportional to 11,698.72, 16,144.25 and 6,393.56 is: 8,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.72 : 16,144.25 = 6,393.56 : x
  2. Step 2: Convert to fraction form
    11,698.72/16,144.25 = 6,393.56/x
  3. Step 3: Cross multiply
    11,698.72x = 16,144.25 × 6,393.56
  4. Step 4: Simplify right side
    11,698.72x = 103,219,118.34
  5. Step 5: Solve for x
    x = 103,219,118.34/11,698.72
  6. Step 6: Final answer
    x = 8,823.11

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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.