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Finding the Fourth Proportional to 6,728.72, 10,094.70 and 2,111.72

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Solution

The fourth proportional to 6,728.72, 10,094.70 and 2,111.72 is: 3,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.72 : 10,094.70 = 2,111.72 : x
  2. Step 2: Convert to fraction form
    6,728.72/10,094.70 = 2,111.72/x
  3. Step 3: Cross multiply
    6,728.72x = 10,094.70 × 2,111.72
  4. Step 4: Simplify right side
    6,728.72x = 21,317,129.41
  5. Step 5: Solve for x
    x = 21,317,129.41/6,728.72
  6. Step 6: Final answer
    x = 3,168.08

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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.