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Finding the Fourth Proportional to 7,559.14, 10,431.66 and 4,202.27

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Solution

The fourth proportional to 7,559.14, 10,431.66 and 4,202.27 is: 5,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.14 : 10,431.66 = 4,202.27 : x
  2. Step 2: Convert to fraction form
    7,559.14/10,431.66 = 4,202.27/x
  3. Step 3: Cross multiply
    7,559.14x = 10,431.66 × 4,202.27
  4. Step 4: Simplify right side
    7,559.14x = 43,836,651.87
  5. Step 5: Solve for x
    x = 43,836,651.87/7,559.14
  6. Step 6: Final answer
    x = 5,799.16

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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.