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Finding the Fourth Proportional to 6,164.12, 8,506.78 and 3,773.33

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Solution

The fourth proportional to 6,164.12, 8,506.78 and 3,773.33 is: 5,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.12 : 8,506.78 = 3,773.33 : x
  2. Step 2: Convert to fraction form
    6,164.12/8,506.78 = 3,773.33/x
  3. Step 3: Cross multiply
    6,164.12x = 8,506.78 × 3,773.33
  4. Step 4: Simplify right side
    6,164.12x = 32,098,875.19
  5. Step 5: Solve for x
    x = 32,098,875.19/6,164.12
  6. Step 6: Final answer
    x = 5,207.37

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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.