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Finding the Fourth Proportional to 7,409.87, 11,116.31 and 3,027.68

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Solution

The fourth proportional to 7,409.87, 11,116.31 and 3,027.68 is: 4,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.87 : 11,116.31 = 3,027.68 : x
  2. Step 2: Convert to fraction form
    7,409.87/11,116.31 = 3,027.68/x
  3. Step 3: Cross multiply
    7,409.87x = 11,116.31 × 3,027.68
  4. Step 4: Simplify right side
    7,409.87x = 33,656,558.74
  5. Step 5: Solve for x
    x = 33,656,558.74/7,409.87
  6. Step 6: Final answer
    x = 4,542.13

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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.