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Finding the Fourth Proportional to 7,491.78, 11,237.67 and 4,162.14

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Solution

The fourth proportional to 7,491.78, 11,237.67 and 4,162.14 is: 6,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.78 : 11,237.67 = 4,162.14 : x
  2. Step 2: Convert to fraction form
    7,491.78/11,237.67 = 4,162.14/x
  3. Step 3: Cross multiply
    7,491.78x = 11,237.67 × 4,162.14
  4. Step 4: Simplify right side
    7,491.78x = 46,772,755.81
  5. Step 5: Solve for x
    x = 46,772,755.81/7,491.78
  6. Step 6: Final answer
    x = 6,243.21

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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.