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Finding the Fourth Proportional to 7,138.16, 10,709.26 and 6,252.42

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Solution

The fourth proportional to 7,138.16, 10,709.26 and 6,252.42 is: 9,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.16 : 10,709.26 = 6,252.42 : x
  2. Step 2: Convert to fraction form
    7,138.16/10,709.26 = 6,252.42/x
  3. Step 3: Cross multiply
    7,138.16x = 10,709.26 × 6,252.42
  4. Step 4: Simplify right side
    7,138.16x = 66,958,791.41
  5. Step 5: Solve for x
    x = 66,958,791.41/7,138.16
  6. Step 6: Final answer
    x = 9,380.40

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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.