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Finding the Fourth Proportional to 11,491.73, 17,237.66 and 4,096.47

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Solution

The fourth proportional to 11,491.73, 17,237.66 and 4,096.47 is: 6,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.73 : 17,237.66 = 4,096.47 : x
  2. Step 2: Convert to fraction form
    11,491.73/17,237.66 = 4,096.47/x
  3. Step 3: Cross multiply
    11,491.73x = 17,237.66 × 4,096.47
  4. Step 4: Simplify right side
    11,491.73x = 70,613,557.06
  5. Step 5: Solve for x
    x = 70,613,557.06/11,491.73
  6. Step 6: Final answer
    x = 6,144.73

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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.