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Finding the Fourth Proportional to 7,624.16, 11,435.87 and 3,179.99

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Solution

The fourth proportional to 7,624.16, 11,435.87 and 3,179.99 is: 4,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.16 : 11,435.87 = 3,179.99 : x
  2. Step 2: Convert to fraction form
    7,624.16/11,435.87 = 3,179.99/x
  3. Step 3: Cross multiply
    7,624.16x = 11,435.87 × 3,179.99
  4. Step 4: Simplify right side
    7,624.16x = 36,365,879.16
  5. Step 5: Solve for x
    x = 36,365,879.16/7,624.16
  6. Step 6: Final answer
    x = 4,769.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.