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Finding the Fourth Proportional to 7,443.64, 11,167.89 and 3,744.10

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Solution

The fourth proportional to 7,443.64, 11,167.89 and 3,744.10 is: 5,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.64 : 11,167.89 = 3,744.10 : x
  2. Step 2: Convert to fraction form
    7,443.64/11,167.89 = 3,744.10/x
  3. Step 3: Cross multiply
    7,443.64x = 11,167.89 × 3,744.10
  4. Step 4: Simplify right side
    7,443.64x = 41,813,696.95
  5. Step 5: Solve for x
    x = 41,813,696.95/7,443.64
  6. Step 6: Final answer
    x = 5,617.37

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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.