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Finding the Fourth Proportional to 7,927.92, 10,940.82 and 4,391.46

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Solution

The fourth proportional to 7,927.92, 10,940.82 and 4,391.46 is: 6,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.92 : 10,940.82 = 4,391.46 : x
  2. Step 2: Convert to fraction form
    7,927.92/10,940.82 = 4,391.46/x
  3. Step 3: Cross multiply
    7,927.92x = 10,940.82 × 4,391.46
  4. Step 4: Simplify right side
    7,927.92x = 48,046,173.40
  5. Step 5: Solve for x
    x = 48,046,173.40/7,927.92
  6. Step 6: Final answer
    x = 6,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.