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Finding the Fourth Proportional to 10,825.76, 16,239.18 and 3,900.26

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Solution

The fourth proportional to 10,825.76, 16,239.18 and 3,900.26 is: 5,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.76 : 16,239.18 = 3,900.26 : x
  2. Step 2: Convert to fraction form
    10,825.76/16,239.18 = 3,900.26/x
  3. Step 3: Cross multiply
    10,825.76x = 16,239.18 × 3,900.26
  4. Step 4: Simplify right side
    10,825.76x = 63,337,024.19
  5. Step 5: Solve for x
    x = 63,337,024.19/10,825.76
  6. Step 6: Final answer
    x = 5,850.58

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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.