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Finding the Fourth Proportional to 8,229.90, 11,358.51 and 5,246.94

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Solution

The fourth proportional to 8,229.90, 11,358.51 and 5,246.94 is: 7,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.90 : 11,358.51 = 5,246.94 : x
  2. Step 2: Convert to fraction form
    8,229.90/11,358.51 = 5,246.94/x
  3. Step 3: Cross multiply
    8,229.90x = 11,358.51 × 5,246.94
  4. Step 4: Simplify right side
    8,229.90x = 59,597,420.46
  5. Step 5: Solve for x
    x = 59,597,420.46/8,229.90
  6. Step 6: Final answer
    x = 7,241.57

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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.