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Finding the Fourth Proportional to 11,462.36, 17,192.71 and 3,564.66

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Solution

The fourth proportional to 11,462.36, 17,192.71 and 3,564.66 is: 5,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.36 : 17,192.71 = 3,564.66 : x
  2. Step 2: Convert to fraction form
    11,462.36/17,192.71 = 3,564.66/x
  3. Step 3: Cross multiply
    11,462.36x = 17,192.71 × 3,564.66
  4. Step 4: Simplify right side
    11,462.36x = 61,286,117.80
  5. Step 5: Solve for x
    x = 61,286,117.80/11,462.36
  6. Step 6: Final answer
    x = 5,346.73

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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.