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Finding the Fourth Proportional to 11,393.68, 17,086.56 and 6,998.08

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Solution

The fourth proportional to 11,393.68, 17,086.56 and 6,998.08 is: 10,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.68 : 17,086.56 = 6,998.08 : x
  2. Step 2: Convert to fraction form
    11,393.68/17,086.56 = 6,998.08/x
  3. Step 3: Cross multiply
    11,393.68x = 17,086.56 × 6,998.08
  4. Step 4: Simplify right side
    11,393.68x = 119,573,113.80
  5. Step 5: Solve for x
    x = 119,573,113.80/11,393.68
  6. Step 6: Final answer
    x = 10,494.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.