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Finding the Fourth Proportional to 10,391.49, 15,593.38 and 3,822.29

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Solution

The fourth proportional to 10,391.49, 15,593.38 and 3,822.29 is: 5,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.49 : 15,593.38 = 3,822.29 : x
  2. Step 2: Convert to fraction form
    10,391.49/15,593.38 = 3,822.29/x
  3. Step 3: Cross multiply
    10,391.49x = 15,593.38 × 3,822.29
  4. Step 4: Simplify right side
    10,391.49x = 59,602,323.36
  5. Step 5: Solve for x
    x = 59,602,323.36/10,391.49
  6. Step 6: Final answer
    x = 5,735.69

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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.