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Finding the Fourth Proportional to 7,747.59, 11,620.17 and 2,816.51

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Solution

The fourth proportional to 7,747.59, 11,620.17 and 2,816.51 is: 4,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.59 : 11,620.17 = 2,816.51 : x
  2. Step 2: Convert to fraction form
    7,747.59/11,620.17 = 2,816.51/x
  3. Step 3: Cross multiply
    7,747.59x = 11,620.17 × 2,816.51
  4. Step 4: Simplify right side
    7,747.59x = 32,728,354.06
  5. Step 5: Solve for x
    x = 32,728,354.06/7,747.59
  6. Step 6: Final answer
    x = 4,224.33

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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.