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Finding the Fourth Proportional to 10,759.73, 16,143.69 and 5,212.67

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Solution

The fourth proportional to 10,759.73, 16,143.69 and 5,212.67 is: 7,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.73 : 16,143.69 = 5,212.67 : x
  2. Step 2: Convert to fraction form
    10,759.73/16,143.69 = 5,212.67/x
  3. Step 3: Cross multiply
    10,759.73x = 16,143.69 × 5,212.67
  4. Step 4: Simplify right side
    10,759.73x = 84,151,728.55
  5. Step 5: Solve for x
    x = 84,151,728.55/10,759.73
  6. Step 6: Final answer
    x = 7,820.99

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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.