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Finding the Fourth Proportional to 11,964.65, 16,494.09 and 8,416.85

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Solution

The fourth proportional to 11,964.65, 16,494.09 and 8,416.85 is: 11,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.65 : 16,494.09 = 8,416.85 : x
  2. Step 2: Convert to fraction form
    11,964.65/16,494.09 = 8,416.85/x
  3. Step 3: Cross multiply
    11,964.65x = 16,494.09 × 8,416.85
  4. Step 4: Simplify right side
    11,964.65x = 138,828,198.95
  5. Step 5: Solve for x
    x = 138,828,198.95/11,964.65
  6. Step 6: Final answer
    x = 11,603.20

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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.