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Finding the Fourth Proportional to 8,311.72, 11,485.38 and 7,906.76

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Solution

The fourth proportional to 8,311.72, 11,485.38 and 7,906.76 is: 10,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.72 : 11,485.38 = 7,906.76 : x
  2. Step 2: Convert to fraction form
    8,311.72/11,485.38 = 7,906.76/x
  3. Step 3: Cross multiply
    8,311.72x = 11,485.38 × 7,906.76
  4. Step 4: Simplify right side
    8,311.72x = 90,812,143.17
  5. Step 5: Solve for x
    x = 90,812,143.17/8,311.72
  6. Step 6: Final answer
    x = 10,925.79

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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.