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Finding the Fourth Proportional to 11,932.87, 16,469.78 and 6,897.30

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Solution

The fourth proportional to 11,932.87, 16,469.78 and 6,897.30 is: 9,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.87 : 16,469.78 = 6,897.30 : x
  2. Step 2: Convert to fraction form
    11,932.87/16,469.78 = 6,897.30/x
  3. Step 3: Cross multiply
    11,932.87x = 16,469.78 × 6,897.30
  4. Step 4: Simplify right side
    11,932.87x = 113,596,979.11
  5. Step 5: Solve for x
    x = 113,596,979.11/11,932.87
  6. Step 6: Final answer
    x = 9,519.67

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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.