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Finding the Fourth Proportional to 11,462.69, 17,192.89 and 3,143.55

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Solution

The fourth proportional to 11,462.69, 17,192.89 and 3,143.55 is: 4,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.69 : 17,192.89 = 3,143.55 : x
  2. Step 2: Convert to fraction form
    11,462.69/17,192.89 = 3,143.55/x
  3. Step 3: Cross multiply
    11,462.69x = 17,192.89 × 3,143.55
  4. Step 4: Simplify right side
    11,462.69x = 54,046,650.24
  5. Step 5: Solve for x
    x = 54,046,650.24/11,462.69
  6. Step 6: Final answer
    x = 4,715.00

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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.