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Finding the Fourth Proportional to 11,644.32, 16,067.94 and 6,606.94

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Solution

The fourth proportional to 11,644.32, 16,067.94 and 6,606.94 is: 9,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.32 : 16,067.94 = 6,606.94 : x
  2. Step 2: Convert to fraction form
    11,644.32/16,067.94 = 6,606.94/x
  3. Step 3: Cross multiply
    11,644.32x = 16,067.94 × 6,606.94
  4. Step 4: Simplify right side
    11,644.32x = 106,159,915.50
  5. Step 5: Solve for x
    x = 106,159,915.50/11,644.32
  6. Step 6: Final answer
    x = 9,116.88

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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.