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Finding the Fourth Proportional to 10,071.24, 13,897.24 and 5,821.62

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Solution

The fourth proportional to 10,071.24, 13,897.24 and 5,821.62 is: 8,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.24 : 13,897.24 = 5,821.62 : x
  2. Step 2: Convert to fraction form
    10,071.24/13,897.24 = 5,821.62/x
  3. Step 3: Cross multiply
    10,071.24x = 13,897.24 × 5,821.62
  4. Step 4: Simplify right side
    10,071.24x = 80,904,450.33
  5. Step 5: Solve for x
    x = 80,904,450.33/10,071.24
  6. Step 6: Final answer
    x = 8,033.22

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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.