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Finding the Fourth Proportional to 11,812.69, 17,731.39 and 5,243.52

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Solution

The fourth proportional to 11,812.69, 17,731.39 and 5,243.52 is: 7,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.69 : 17,731.39 = 5,243.52 : x
  2. Step 2: Convert to fraction form
    11,812.69/17,731.39 = 5,243.52/x
  3. Step 3: Cross multiply
    11,812.69x = 17,731.39 × 5,243.52
  4. Step 4: Simplify right side
    11,812.69x = 92,974,898.09
  5. Step 5: Solve for x
    x = 92,974,898.09/11,812.69
  6. Step 6: Final answer
    x = 7,870.76

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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.