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Finding the Fourth Proportional to 7,538.25, 10,402.79 and 4,226.25

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Solution

The fourth proportional to 7,538.25, 10,402.79 and 4,226.25 is: 5,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.25 : 10,402.79 = 4,226.25 : x
  2. Step 2: Convert to fraction form
    7,538.25/10,402.79 = 4,226.25/x
  3. Step 3: Cross multiply
    7,538.25x = 10,402.79 × 4,226.25
  4. Step 4: Simplify right side
    7,538.25x = 43,964,791.24
  5. Step 5: Solve for x
    x = 43,964,791.24/7,538.25
  6. Step 6: Final answer
    x = 5,832.23

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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.