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Finding the Fourth Proportional to 11,092.74, 16,658.94 and 10,646.80

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Solution

The fourth proportional to 11,092.74, 16,658.94 and 10,646.80 is: 15,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.74 : 16,658.94 = 10,646.80 : x
  2. Step 2: Convert to fraction form
    11,092.74/16,658.94 = 10,646.80/x
  3. Step 3: Cross multiply
    11,092.74x = 16,658.94 × 10,646.80
  4. Step 4: Simplify right side
    11,092.74x = 177,364,402.39
  5. Step 5: Solve for x
    x = 177,364,402.39/11,092.74
  6. Step 6: Final answer
    x = 15,989.23

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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.