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Finding the Fourth Proportional to 7,196.86, 10,775.36 and 3,679.29

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Solution

The fourth proportional to 7,196.86, 10,775.36 and 3,679.29 is: 5,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.86 : 10,775.36 = 3,679.29 : x
  2. Step 2: Convert to fraction form
    7,196.86/10,775.36 = 3,679.29/x
  3. Step 3: Cross multiply
    7,196.86x = 10,775.36 × 3,679.29
  4. Step 4: Simplify right side
    7,196.86x = 39,645,674.29
  5. Step 5: Solve for x
    x = 39,645,674.29/7,196.86
  6. Step 6: Final answer
    x = 5,508.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.