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Finding the Fourth Proportional to 7,910.54, 11,865.79 and 3,232.74

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Solution

The fourth proportional to 7,910.54, 11,865.79 and 3,232.74 is: 4,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.54 : 11,865.79 = 3,232.74 : x
  2. Step 2: Convert to fraction form
    7,910.54/11,865.79 = 3,232.74/x
  3. Step 3: Cross multiply
    7,910.54x = 11,865.79 × 3,232.74
  4. Step 4: Simplify right side
    7,910.54x = 38,359,005.88
  5. Step 5: Solve for x
    x = 38,359,005.88/7,910.54
  6. Step 6: Final answer
    x = 4,849.10

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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.