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Finding the Fourth Proportional to 7,896.89, 11,847.16 and 4,202.69

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Solution

The fourth proportional to 7,896.89, 11,847.16 and 4,202.69 is: 6,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.89 : 11,847.16 = 4,202.69 : x
  2. Step 2: Convert to fraction form
    7,896.89/11,847.16 = 4,202.69/x
  3. Step 3: Cross multiply
    7,896.89x = 11,847.16 × 4,202.69
  4. Step 4: Simplify right side
    7,896.89x = 49,789,886.88
  5. Step 5: Solve for x
    x = 49,789,886.88/7,896.89
  6. Step 6: Final answer
    x = 6,305.00

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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.