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Finding the Fourth Proportional to 7,833.92, 11,736.16 and 3,880.58

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Solution

The fourth proportional to 7,833.92, 11,736.16 and 3,880.58 is: 5,813.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.92 : 11,736.16 = 3,880.58 : x
  2. Step 2: Convert to fraction form
    7,833.92/11,736.16 = 3,880.58/x
  3. Step 3: Cross multiply
    7,833.92x = 11,736.16 × 3,880.58
  4. Step 4: Simplify right side
    7,833.92x = 45,543,039.39
  5. Step 5: Solve for x
    x = 45,543,039.39/7,833.92
  6. Step 6: Final answer
    x = 5,813.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.