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Finding the Fourth Proportional to 7,898.30, 11,847.41 and 3,217.26

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Solution

The fourth proportional to 7,898.30, 11,847.41 and 3,217.26 is: 4,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.30 : 11,847.41 = 3,217.26 : x
  2. Step 2: Convert to fraction form
    7,898.30/11,847.41 = 3,217.26/x
  3. Step 3: Cross multiply
    7,898.30x = 11,847.41 × 3,217.26
  4. Step 4: Simplify right side
    7,898.30x = 38,116,182.21
  5. Step 5: Solve for x
    x = 38,116,182.21/7,898.30
  6. Step 6: Final answer
    x = 4,825.87

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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.