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Finding the Fourth Proportional to 7,262.87, 10,022.17 and 4,119.35

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Solution

The fourth proportional to 7,262.87, 10,022.17 and 4,119.35 is: 5,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.87 : 10,022.17 = 4,119.35 : x
  2. Step 2: Convert to fraction form
    7,262.87/10,022.17 = 4,119.35/x
  3. Step 3: Cross multiply
    7,262.87x = 10,022.17 × 4,119.35
  4. Step 4: Simplify right side
    7,262.87x = 41,284,825.99
  5. Step 5: Solve for x
    x = 41,284,825.99/7,262.87
  6. Step 6: Final answer
    x = 5,684.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.