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Finding the Fourth Proportional to 6,165.24, 8,506.17 and 3,647.64

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Solution

The fourth proportional to 6,165.24, 8,506.17 and 3,647.64 is: 5,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.24 : 8,506.17 = 3,647.64 : x
  2. Step 2: Convert to fraction form
    6,165.24/8,506.17 = 3,647.64/x
  3. Step 3: Cross multiply
    6,165.24x = 8,506.17 × 3,647.64
  4. Step 4: Simplify right side
    6,165.24x = 31,027,445.94
  5. Step 5: Solve for x
    x = 31,027,445.94/6,165.24
  6. Step 6: Final answer
    x = 5,032.64

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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.