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Finding the Fourth Proportional to 7,087.70, 9,768.66 and 5,195.27

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Solution

The fourth proportional to 7,087.70, 9,768.66 and 5,195.27 is: 7,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.70 : 9,768.66 = 5,195.27 : x
  2. Step 2: Convert to fraction form
    7,087.70/9,768.66 = 5,195.27/x
  3. Step 3: Cross multiply
    7,087.70x = 9,768.66 × 5,195.27
  4. Step 4: Simplify right side
    7,087.70x = 50,750,850.66
  5. Step 5: Solve for x
    x = 50,750,850.66/7,087.70
  6. Step 6: Final answer
    x = 7,160.41

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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.