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Finding the Fourth Proportional to 6,116.58, 9,174.83 and 2,829.69

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Solution

The fourth proportional to 6,116.58, 9,174.83 and 2,829.69 is: 4,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.58 : 9,174.83 = 2,829.69 : x
  2. Step 2: Convert to fraction form
    6,116.58/9,174.83 = 2,829.69/x
  3. Step 3: Cross multiply
    6,116.58x = 9,174.83 × 2,829.69
  4. Step 4: Simplify right side
    6,116.58x = 25,961,910.55
  5. Step 5: Solve for x
    x = 25,961,910.55/6,116.58
  6. Step 6: Final answer
    x = 4,244.51

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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.