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Finding the Fourth Proportional to 10,825.97, 16,239.54 and 3,035.39

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Solution

The fourth proportional to 10,825.97, 16,239.54 and 3,035.39 is: 4,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.97 : 16,239.54 = 3,035.39 : x
  2. Step 2: Convert to fraction form
    10,825.97/16,239.54 = 3,035.39/x
  3. Step 3: Cross multiply
    10,825.97x = 16,239.54 × 3,035.39
  4. Step 4: Simplify right side
    10,825.97x = 49,293,337.32
  5. Step 5: Solve for x
    x = 49,293,337.32/10,825.97
  6. Step 6: Final answer
    x = 4,553.25

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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.