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Finding the Fourth Proportional to 11,604.06, 16,006.32 and 6,885

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Solution

The fourth proportional to 11,604.06, 16,006.32 and 6,885 is: 9,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.06 : 16,006.32 = 6,885 : x
  2. Step 2: Convert to fraction form
    11,604.06/16,006.32 = 6,885/x
  3. Step 3: Cross multiply
    11,604.06x = 16,006.32 × 6,885
  4. Step 4: Simplify right side
    11,604.06x = 110,203,513.20
  5. Step 5: Solve for x
    x = 110,203,513.20/11,604.06
  6. Step 6: Final answer
    x = 9,496.98

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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.