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Finding the Fourth Proportional to 11,932.65, 16,468.79 and 7,682.31

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Solution

The fourth proportional to 11,932.65, 16,468.79 and 7,682.31 is: 10,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.65 : 16,468.79 = 7,682.31 : x
  2. Step 2: Convert to fraction form
    11,932.65/16,468.79 = 7,682.31/x
  3. Step 3: Cross multiply
    11,932.65x = 16,468.79 × 7,682.31
  4. Step 4: Simplify right side
    11,932.65x = 126,518,311.69
  5. Step 5: Solve for x
    x = 126,518,311.69/11,932.65
  6. Step 6: Final answer
    x = 10,602.70

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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.