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Finding the Fourth Proportional to 7,759.08, 11,638.64 and 2,828.71

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Solution

The fourth proportional to 7,759.08, 11,638.64 and 2,828.71 is: 4,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.08 : 11,638.64 = 2,828.71 : x
  2. Step 2: Convert to fraction form
    7,759.08/11,638.64 = 2,828.71/x
  3. Step 3: Cross multiply
    7,759.08x = 11,638.64 × 2,828.71
  4. Step 4: Simplify right side
    7,759.08x = 32,922,358.97
  5. Step 5: Solve for x
    x = 32,922,358.97/7,759.08
  6. Step 6: Final answer
    x = 4,243.08

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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.