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Finding the Fourth Proportional to 7,563.66, 10,414.01 and 6,863.03

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Solution

The fourth proportional to 7,563.66, 10,414.01 and 6,863.03 is: 9,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.66 : 10,414.01 = 6,863.03 : x
  2. Step 2: Convert to fraction form
    7,563.66/10,414.01 = 6,863.03/x
  3. Step 3: Cross multiply
    7,563.66x = 10,414.01 × 6,863.03
  4. Step 4: Simplify right side
    7,563.66x = 71,471,576.67
  5. Step 5: Solve for x
    x = 71,471,576.67/7,563.66
  6. Step 6: Final answer
    x = 9,449.34

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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.