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Finding the Fourth Proportional to 7,925.28, 11,866.02 and 5,971.56

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Solution

The fourth proportional to 7,925.28, 11,866.02 and 5,971.56 is: 8,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.28 : 11,866.02 = 5,971.56 : x
  2. Step 2: Convert to fraction form
    7,925.28/11,866.02 = 5,971.56/x
  3. Step 3: Cross multiply
    7,925.28x = 11,866.02 × 5,971.56
  4. Step 4: Simplify right side
    7,925.28x = 70,858,650.39
  5. Step 5: Solve for x
    x = 70,858,650.39/7,925.28
  6. Step 6: Final answer
    x = 8,940.84

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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.