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Finding the Fourth Proportional to 11,896.10, 16,416.75 and 6,591

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Solution

The fourth proportional to 11,896.10, 16,416.75 and 6,591 is: 9,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.10 : 16,416.75 = 6,591 : x
  2. Step 2: Convert to fraction form
    11,896.10/16,416.75 = 6,591/x
  3. Step 3: Cross multiply
    11,896.10x = 16,416.75 × 6,591
  4. Step 4: Simplify right side
    11,896.10x = 108,202,799.25
  5. Step 5: Solve for x
    x = 108,202,799.25/11,896.10
  6. Step 6: Final answer
    x = 9,095.65

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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.