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Finding the Fourth Proportional to 11,891.96, 16,410.90 and 6,586.80

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Solution

The fourth proportional to 11,891.96, 16,410.90 and 6,586.80 is: 9,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.96 : 16,410.90 = 6,586.80 : x
  2. Step 2: Convert to fraction form
    11,891.96/16,410.90 = 6,586.80/x
  3. Step 3: Cross multiply
    11,891.96x = 16,410.90 × 6,586.80
  4. Step 4: Simplify right side
    11,891.96x = 108,095,316.12
  5. Step 5: Solve for x
    x = 108,095,316.12/11,891.96
  6. Step 6: Final answer
    x = 9,089.78

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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.