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Finding the Fourth Proportional to 10,069.67, 13,896.16 and 5,593.30

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Solution

The fourth proportional to 10,069.67, 13,896.16 and 5,593.30 is: 7,718.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.67 : 13,896.16 = 5,593.30 : x
  2. Step 2: Convert to fraction form
    10,069.67/13,896.16 = 5,593.30/x
  3. Step 3: Cross multiply
    10,069.67x = 13,896.16 × 5,593.30
  4. Step 4: Simplify right side
    10,069.67x = 77,725,391.73
  5. Step 5: Solve for x
    x = 77,725,391.73/10,069.67
  6. Step 6: Final answer
    x = 7,718.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.