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Finding the Fourth Proportional to 7,896.88, 11,847.75 and 5,680.72

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Solution

The fourth proportional to 7,896.88, 11,847.75 and 5,680.72 is: 8,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.88 : 11,847.75 = 5,680.72 : x
  2. Step 2: Convert to fraction form
    7,896.88/11,847.75 = 5,680.72/x
  3. Step 3: Cross multiply
    7,896.88x = 11,847.75 × 5,680.72
  4. Step 4: Simplify right side
    7,896.88x = 67,303,750.38
  5. Step 5: Solve for x
    x = 67,303,750.38/7,896.88
  6. Step 6: Final answer
    x = 8,522.83

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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.