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Finding the Fourth Proportional to 8,624.32, 11,906.52 and 5,796.76

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Solution

The fourth proportional to 8,624.32, 11,906.52 and 5,796.76 is: 8,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.32 : 11,906.52 = 5,796.76 : x
  2. Step 2: Convert to fraction form
    8,624.32/11,906.52 = 5,796.76/x
  3. Step 3: Cross multiply
    8,624.32x = 11,906.52 × 5,796.76
  4. Step 4: Simplify right side
    8,624.32x = 69,019,238.88
  5. Step 5: Solve for x
    x = 69,019,238.88/8,624.32
  6. Step 6: Final answer
    x = 8,002.86

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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.