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Finding the Fourth Proportional to 7,217.69, 10,826.84 and 2,287.22

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Solution

The fourth proportional to 7,217.69, 10,826.84 and 2,287.22 is: 3,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.69 : 10,826.84 = 2,287.22 : x
  2. Step 2: Convert to fraction form
    7,217.69/10,826.84 = 2,287.22/x
  3. Step 3: Cross multiply
    7,217.69x = 10,826.84 × 2,287.22
  4. Step 4: Simplify right side
    7,217.69x = 24,763,397.77
  5. Step 5: Solve for x
    x = 24,763,397.77/7,217.69
  6. Step 6: Final answer
    x = 3,430.93

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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.