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Finding the Fourth Proportional to 7,196.25, 10,776.96 and 3,489.30

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Solution

The fourth proportional to 7,196.25, 10,776.96 and 3,489.30 is: 5,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.25 : 10,776.96 = 3,489.30 : x
  2. Step 2: Convert to fraction form
    7,196.25/10,776.96 = 3,489.30/x
  3. Step 3: Cross multiply
    7,196.25x = 10,776.96 × 3,489.30
  4. Step 4: Simplify right side
    7,196.25x = 37,604,046.53
  5. Step 5: Solve for x
    x = 37,604,046.53/7,196.25
  6. Step 6: Final answer
    x = 5,225.51

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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.