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Finding the Fourth Proportional to 13,083.16, 19,622.56 and 3,847

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Solution

The fourth proportional to 13,083.16, 19,622.56 and 3,847 is: 5,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.16 : 19,622.56 = 3,847 : x
  2. Step 2: Convert to fraction form
    13,083.16/19,622.56 = 3,847/x
  3. Step 3: Cross multiply
    13,083.16x = 19,622.56 × 3,847
  4. Step 4: Simplify right side
    13,083.16x = 75,487,988.32
  5. Step 5: Solve for x
    x = 75,487,988.32/13,083.16
  6. Step 6: Final answer
    x = 5,769.86

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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.