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Finding the Fourth Proportional to 6,165.69, 8,506.57 and 3,511.22

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Solution

The fourth proportional to 6,165.69, 8,506.57 and 3,511.22 is: 4,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.69 : 8,506.57 = 3,511.22 : x
  2. Step 2: Convert to fraction form
    6,165.69/8,506.57 = 3,511.22/x
  3. Step 3: Cross multiply
    6,165.69x = 8,506.57 × 3,511.22
  4. Step 4: Simplify right side
    6,165.69x = 29,868,393.99
  5. Step 5: Solve for x
    x = 29,868,393.99/6,165.69
  6. Step 6: Final answer
    x = 4,844.29

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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.