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Finding the Fourth Proportional to 6,727.56, 10,089.72 and 4,129.08

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Solution

The fourth proportional to 6,727.56, 10,089.72 and 4,129.08 is: 6,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.56 : 10,089.72 = 4,129.08 : x
  2. Step 2: Convert to fraction form
    6,727.56/10,089.72 = 4,129.08/x
  3. Step 3: Cross multiply
    6,727.56x = 10,089.72 × 4,129.08
  4. Step 4: Simplify right side
    6,727.56x = 41,661,261.06
  5. Step 5: Solve for x
    x = 41,661,261.06/6,727.56
  6. Step 6: Final answer
    x = 6,192.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.