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Finding the Fourth Proportional to 10,268.72, 14,164.44 and 6,074

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Solution

The fourth proportional to 10,268.72, 14,164.44 and 6,074 is: 8,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.72 : 14,164.44 = 6,074 : x
  2. Step 2: Convert to fraction form
    10,268.72/14,164.44 = 6,074/x
  3. Step 3: Cross multiply
    10,268.72x = 14,164.44 × 6,074
  4. Step 4: Simplify right side
    10,268.72x = 86,034,808.56
  5. Step 5: Solve for x
    x = 86,034,808.56/10,268.72
  6. Step 6: Final answer
    x = 8,378.34

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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.