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Finding the Fourth Proportional to 11,698.84, 16,144.36 and 6,393.65

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Solution

The fourth proportional to 11,698.84, 16,144.36 and 6,393.65 is: 8,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.84 : 16,144.36 = 6,393.65 : x
  2. Step 2: Convert to fraction form
    11,698.84/16,144.36 = 6,393.65/x
  3. Step 3: Cross multiply
    11,698.84x = 16,144.36 × 6,393.65
  4. Step 4: Simplify right side
    11,698.84x = 103,221,439.86
  5. Step 5: Solve for x
    x = 103,221,439.86/11,698.84
  6. Step 6: Final answer
    x = 8,823.22

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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.