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Finding the Fourth Proportional to 7,206.26, 10,802.94 and 2,826.78

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Solution

The fourth proportional to 7,206.26, 10,802.94 and 2,826.78 is: 4,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.26 : 10,802.94 = 2,826.78 : x
  2. Step 2: Convert to fraction form
    7,206.26/10,802.94 = 2,826.78/x
  3. Step 3: Cross multiply
    7,206.26x = 10,802.94 × 2,826.78
  4. Step 4: Simplify right side
    7,206.26x = 30,537,534.73
  5. Step 5: Solve for x
    x = 30,537,534.73/7,206.26
  6. Step 6: Final answer
    x = 4,237.64

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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.