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Finding the Fourth Proportional to 8,632.46, 11,912.64 and 5,047.76

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Solution

The fourth proportional to 8,632.46, 11,912.64 and 5,047.76 is: 6,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.46 : 11,912.64 = 5,047.76 : x
  2. Step 2: Convert to fraction form
    8,632.46/11,912.64 = 5,047.76/x
  3. Step 3: Cross multiply
    8,632.46x = 11,912.64 × 5,047.76
  4. Step 4: Simplify right side
    8,632.46x = 60,132,147.69
  5. Step 5: Solve for x
    x = 60,132,147.69/8,632.46
  6. Step 6: Final answer
    x = 6,965.82

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