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Finding the Fourth Proportional to 7,086.56, 9,778.19 and 4,102.25

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Solution

The fourth proportional to 7,086.56, 9,778.19 and 4,102.25 is: 5,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.56 : 9,778.19 = 4,102.25 : x
  2. Step 2: Convert to fraction form
    7,086.56/9,778.19 = 4,102.25/x
  3. Step 3: Cross multiply
    7,086.56x = 9,778.19 × 4,102.25
  4. Step 4: Simplify right side
    7,086.56x = 40,112,510.53
  5. Step 5: Solve for x
    x = 40,112,510.53/7,086.56
  6. Step 6: Final answer
    x = 5,660.37

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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.