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Finding the Fourth Proportional to 11,161.24, 16,768 and 10,530.78

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Solution

The fourth proportional to 11,161.24, 16,768 and 10,530.78 is: 15,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.24 : 16,768 = 10,530.78 : x
  2. Step 2: Convert to fraction form
    11,161.24/16,768 = 10,530.78/x
  3. Step 3: Cross multiply
    11,161.24x = 16,768 × 10,530.78
  4. Step 4: Simplify right side
    11,161.24x = 176,580,119.04
  5. Step 5: Solve for x
    x = 176,580,119.04/11,161.24
  6. Step 6: Final answer
    x = 15,820.83

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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.