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Finding the Fourth Proportional to 7,441.20, 11,154.02 and 2,509.14

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Solution

The fourth proportional to 7,441.20, 11,154.02 and 2,509.14 is: 3,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.20 : 11,154.02 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    7,441.20/11,154.02 = 2,509.14/x
  3. Step 3: Cross multiply
    7,441.20x = 11,154.02 × 2,509.14
  4. Step 4: Simplify right side
    7,441.20x = 27,986,997.74
  5. Step 5: Solve for x
    x = 27,986,997.74/7,441.20
  6. Step 6: Final answer
    x = 3,761.09

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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.