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Finding the Fourth Proportional to 7,961.94, 10,990.50 and 5,308.38

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Solution

The fourth proportional to 7,961.94, 10,990.50 and 5,308.38 is: 7,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.94 : 10,990.50 = 5,308.38 : x
  2. Step 2: Convert to fraction form
    7,961.94/10,990.50 = 5,308.38/x
  3. Step 3: Cross multiply
    7,961.94x = 10,990.50 × 5,308.38
  4. Step 4: Simplify right side
    7,961.94x = 58,341,750.39
  5. Step 5: Solve for x
    x = 58,341,750.39/7,961.94
  6. Step 6: Final answer
    x = 7,327.58

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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.