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Finding the Fourth Proportional to 11,465.88, 17,175.34 and 6,771.72

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Solution

The fourth proportional to 11,465.88, 17,175.34 and 6,771.72 is: 10,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.88 : 17,175.34 = 6,771.72 : x
  2. Step 2: Convert to fraction form
    11,465.88/17,175.34 = 6,771.72/x
  3. Step 3: Cross multiply
    11,465.88x = 17,175.34 × 6,771.72
  4. Step 4: Simplify right side
    11,465.88x = 116,306,593.38
  5. Step 5: Solve for x
    x = 116,306,593.38/11,465.88
  6. Step 6: Final answer
    x = 10,143.71

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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.