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Finding the Fourth Proportional to 7,470.28, 11,207.22 and 2,275.84

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Solution

The fourth proportional to 7,470.28, 11,207.22 and 2,275.84 is: 3,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.28 : 11,207.22 = 2,275.84 : x
  2. Step 2: Convert to fraction form
    7,470.28/11,207.22 = 2,275.84/x
  3. Step 3: Cross multiply
    7,470.28x = 11,207.22 × 2,275.84
  4. Step 4: Simplify right side
    7,470.28x = 25,505,839.56
  5. Step 5: Solve for x
    x = 25,505,839.56/7,470.28
  6. Step 6: Final answer
    x = 3,414.31

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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.