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Finding the Fourth Proportional to 6,164.24, 8,506.63 and 3,475.75

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Solution

The fourth proportional to 6,164.24, 8,506.63 and 3,475.75 is: 4,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.24 : 8,506.63 = 3,475.75 : x
  2. Step 2: Convert to fraction form
    6,164.24/8,506.63 = 3,475.75/x
  3. Step 3: Cross multiply
    6,164.24x = 8,506.63 × 3,475.75
  4. Step 4: Simplify right side
    6,164.24x = 29,566,942.18
  5. Step 5: Solve for x
    x = 29,566,942.18/6,164.24
  6. Step 6: Final answer
    x = 4,796.52

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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.