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Finding the Fourth Proportional to 7,086.10, 9,778.17 and 4,253.44

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Solution

The fourth proportional to 7,086.10, 9,778.17 and 4,253.44 is: 5,869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.10 : 9,778.17 = 4,253.44 : x
  2. Step 2: Convert to fraction form
    7,086.10/9,778.17 = 4,253.44/x
  3. Step 3: Cross multiply
    7,086.10x = 9,778.17 × 4,253.44
  4. Step 4: Simplify right side
    7,086.10x = 41,590,859.40
  5. Step 5: Solve for x
    x = 41,590,859.40/7,086.10
  6. Step 6: Final answer
    x = 5,869.36

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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.