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Finding the Fourth Proportional to 7,138.29, 10,709.96 and 3,189.18

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Solution

The fourth proportional to 7,138.29, 10,709.96 and 3,189.18 is: 4,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.29 : 10,709.96 = 3,189.18 : x
  2. Step 2: Convert to fraction form
    7,138.29/10,709.96 = 3,189.18/x
  3. Step 3: Cross multiply
    7,138.29x = 10,709.96 × 3,189.18
  4. Step 4: Simplify right side
    7,138.29x = 34,155,974.29
  5. Step 5: Solve for x
    x = 34,155,974.29/7,138.29
  6. Step 6: Final answer
    x = 4,784.90

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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.