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Finding the Fourth Proportional to 11,932.99, 16,467.78 and 6,897.36

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Solution

The fourth proportional to 11,932.99, 16,467.78 and 6,897.36 is: 9,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.99 : 16,467.78 = 6,897.36 : x
  2. Step 2: Convert to fraction form
    11,932.99/16,467.78 = 6,897.36/x
  3. Step 3: Cross multiply
    11,932.99x = 16,467.78 × 6,897.36
  4. Step 4: Simplify right side
    11,932.99x = 113,584,207.06
  5. Step 5: Solve for x
    x = 113,584,207.06/11,932.99
  6. Step 6: Final answer
    x = 9,518.50

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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.