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Finding the Fourth Proportional to 7,162.56, 9,887.67 and 5,850.36

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Solution

The fourth proportional to 7,162.56, 9,887.67 and 5,850.36 is: 8,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.56 : 9,887.67 = 5,850.36 : x
  2. Step 2: Convert to fraction form
    7,162.56/9,887.67 = 5,850.36/x
  3. Step 3: Cross multiply
    7,162.56x = 9,887.67 × 5,850.36
  4. Step 4: Simplify right side
    7,162.56x = 57,846,429.06
  5. Step 5: Solve for x
    x = 57,846,429.06/7,162.56
  6. Step 6: Final answer
    x = 8,076.22

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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.