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Finding the Fourth Proportional to 6,830.56, 10,238.56 and 3,902.72

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Solution

The fourth proportional to 6,830.56, 10,238.56 and 3,902.72 is: 5,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.56 : 10,238.56 = 3,902.72 : x
  2. Step 2: Convert to fraction form
    6,830.56/10,238.56 = 3,902.72/x
  3. Step 3: Cross multiply
    6,830.56x = 10,238.56 × 3,902.72
  4. Step 4: Simplify right side
    6,830.56x = 39,958,232.88
  5. Step 5: Solve for x
    x = 39,958,232.88/6,830.56
  6. Step 6: Final answer
    x = 5,849.92

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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.