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Finding the Fourth Proportional to 7,624.80, 11,435.35 and 2,078.17

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Solution

The fourth proportional to 7,624.80, 11,435.35 and 2,078.17 is: 3,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.80 : 11,435.35 = 2,078.17 : x
  2. Step 2: Convert to fraction form
    7,624.80/11,435.35 = 2,078.17/x
  3. Step 3: Cross multiply
    7,624.80x = 11,435.35 × 2,078.17
  4. Step 4: Simplify right side
    7,624.80x = 23,764,601.31
  5. Step 5: Solve for x
    x = 23,764,601.31/7,624.80
  6. Step 6: Final answer
    x = 3,116.75

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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.