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Finding the Fourth Proportional to 7,165.38, 10,735.31 and 6,114.71

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Solution

The fourth proportional to 7,165.38, 10,735.31 and 6,114.71 is: 9,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.38 : 10,735.31 = 6,114.71 : x
  2. Step 2: Convert to fraction form
    7,165.38/10,735.31 = 6,114.71/x
  3. Step 3: Cross multiply
    7,165.38x = 10,735.31 × 6,114.71
  4. Step 4: Simplify right side
    7,165.38x = 65,643,289.15
  5. Step 5: Solve for x
    x = 65,643,289.15/7,165.38
  6. Step 6: Final answer
    x = 9,161.18

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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.