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Finding the Fourth Proportional to 7,022.70, 10,534.05 and 2,641.14

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Solution

The fourth proportional to 7,022.70, 10,534.05 and 2,641.14 is: 3,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.70 : 10,534.05 = 2,641.14 : x
  2. Step 2: Convert to fraction form
    7,022.70/10,534.05 = 2,641.14/x
  3. Step 3: Cross multiply
    7,022.70x = 10,534.05 × 2,641.14
  4. Step 4: Simplify right side
    7,022.70x = 27,821,900.82
  5. Step 5: Solve for x
    x = 27,821,900.82/7,022.70
  6. Step 6: Final answer
    x = 3,961.71

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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.