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Finding the Fourth Proportional to 7,470.14, 11,205.81 and 2,276.01

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Solution

The fourth proportional to 7,470.14, 11,205.81 and 2,276.01 is: 3,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.14 : 11,205.81 = 2,276.01 : x
  2. Step 2: Convert to fraction form
    7,470.14/11,205.81 = 2,276.01/x
  3. Step 3: Cross multiply
    7,470.14x = 11,205.81 × 2,276.01
  4. Step 4: Simplify right side
    7,470.14x = 25,504,535.62
  5. Step 5: Solve for x
    x = 25,504,535.62/7,470.14
  6. Step 6: Final answer
    x = 3,414.20

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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.