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Finding the Fourth Proportional to 7,624.94, 11,435.55 and 2,078.31

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Solution

The fourth proportional to 7,624.94, 11,435.55 and 2,078.31 is: 3,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.94 : 11,435.55 = 2,078.31 : x
  2. Step 2: Convert to fraction form
    7,624.94/11,435.55 = 2,078.31/x
  3. Step 3: Cross multiply
    7,624.94x = 11,435.55 × 2,078.31
  4. Step 4: Simplify right side
    7,624.94x = 23,766,617.92
  5. Step 5: Solve for x
    x = 23,766,617.92/7,624.94
  6. Step 6: Final answer
    x = 3,116.96

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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.