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Finding the Fourth Proportional to 7,150.67, 9,863.42 and 5,164.14

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Solution

The fourth proportional to 7,150.67, 9,863.42 and 5,164.14 is: 7,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.67 : 9,863.42 = 5,164.14 : x
  2. Step 2: Convert to fraction form
    7,150.67/9,863.42 = 5,164.14/x
  3. Step 3: Cross multiply
    7,150.67x = 9,863.42 × 5,164.14
  4. Step 4: Simplify right side
    7,150.67x = 50,936,055.94
  5. Step 5: Solve for x
    x = 50,936,055.94/7,150.67
  6. Step 6: Final answer
    x = 7,123.26

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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.