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Finding the Fourth Proportional to 6,508.41, 8,983.88 and 4,150.09

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Solution

The fourth proportional to 6,508.41, 8,983.88 and 4,150.09 is: 5,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.41 : 8,983.88 = 4,150.09 : x
  2. Step 2: Convert to fraction form
    6,508.41/8,983.88 = 4,150.09/x
  3. Step 3: Cross multiply
    6,508.41x = 8,983.88 × 4,150.09
  4. Step 4: Simplify right side
    6,508.41x = 37,283,910.55
  5. Step 5: Solve for x
    x = 37,283,910.55/6,508.41
  6. Step 6: Final answer
    x = 5,728.57

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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.