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Finding the Fourth Proportional to 10,268.51, 14,169.75 and 6,019

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Solution

The fourth proportional to 10,268.51, 14,169.75 and 6,019 is: 8,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.51 : 14,169.75 = 6,019 : x
  2. Step 2: Convert to fraction form
    10,268.51/14,169.75 = 6,019/x
  3. Step 3: Cross multiply
    10,268.51x = 14,169.75 × 6,019
  4. Step 4: Simplify right side
    10,268.51x = 85,287,725.25
  5. Step 5: Solve for x
    x = 85,287,725.25/10,268.51
  6. Step 6: Final answer
    x = 8,305.75

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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.