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Finding the Fourth Proportional to 10,825.50, 16,244.76 and 4,669.50

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Solution

The fourth proportional to 10,825.50, 16,244.76 and 4,669.50 is: 7,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.50 : 16,244.76 = 4,669.50 : x
  2. Step 2: Convert to fraction form
    10,825.50/16,244.76 = 4,669.50/x
  3. Step 3: Cross multiply
    10,825.50x = 16,244.76 × 4,669.50
  4. Step 4: Simplify right side
    10,825.50x = 75,854,906.82
  5. Step 5: Solve for x
    x = 75,854,906.82/10,825.50
  6. Step 6: Final answer
    x = 7,007.06

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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.