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Finding the Fourth Proportional to 7,470.75, 11,206.17 and 2,276.67

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Solution

The fourth proportional to 7,470.75, 11,206.17 and 2,276.67 is: 3,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.75 : 11,206.17 = 2,276.67 : x
  2. Step 2: Convert to fraction form
    7,470.75/11,206.17 = 2,276.67/x
  3. Step 3: Cross multiply
    7,470.75x = 11,206.17 × 2,276.67
  4. Step 4: Simplify right side
    7,470.75x = 25,512,751.05
  5. Step 5: Solve for x
    x = 25,512,751.05/7,470.75
  6. Step 6: Final answer
    x = 3,415.02

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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.