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Finding the Fourth Proportional to 11,161.38, 16,808.90 and 10,164.93

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Solution

The fourth proportional to 11,161.38, 16,808.90 and 10,164.93 is: 15,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.38 : 16,808.90 = 10,164.93 : x
  2. Step 2: Convert to fraction form
    11,161.38/16,808.90 = 10,164.93/x
  3. Step 3: Cross multiply
    11,161.38x = 16,808.90 × 10,164.93
  4. Step 4: Simplify right side
    11,161.38x = 170,861,207.83
  5. Step 5: Solve for x
    x = 170,861,207.83/11,161.38
  6. Step 6: Final answer
    x = 15,308.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.