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Finding the Fourth Proportional to 6,006.10, 8,286.03 and 4,013.50

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Solution

The fourth proportional to 6,006.10, 8,286.03 and 4,013.50 is: 5,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.10 : 8,286.03 = 4,013.50 : x
  2. Step 2: Convert to fraction form
    6,006.10/8,286.03 = 4,013.50/x
  3. Step 3: Cross multiply
    6,006.10x = 8,286.03 × 4,013.50
  4. Step 4: Simplify right side
    6,006.10x = 33,255,919.91
  5. Step 5: Solve for x
    x = 33,255,919.91/6,006.10
  6. Step 6: Final answer
    x = 5,537.03

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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.