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Finding the Fourth Proportional to 10,792.69, 16,177.70 and 4,944.49

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Solution

The fourth proportional to 10,792.69, 16,177.70 and 4,944.49 is: 7,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.69 : 16,177.70 = 4,944.49 : x
  2. Step 2: Convert to fraction form
    10,792.69/16,177.70 = 4,944.49/x
  3. Step 3: Cross multiply
    10,792.69x = 16,177.70 × 4,944.49
  4. Step 4: Simplify right side
    10,792.69x = 79,990,451.15
  5. Step 5: Solve for x
    x = 79,990,451.15/10,792.69
  6. Step 6: Final answer
    x = 7,411.54

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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.