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Finding the Fourth Proportional to 7,747.58, 11,629.71 and 5,812.09

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Solution

The fourth proportional to 7,747.58, 11,629.71 and 5,812.09 is: 8,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.58 : 11,629.71 = 5,812.09 : x
  2. Step 2: Convert to fraction form
    7,747.58/11,629.71 = 5,812.09/x
  3. Step 3: Cross multiply
    7,747.58x = 11,629.71 × 5,812.09
  4. Step 4: Simplify right side
    7,747.58x = 67,592,892.12
  5. Step 5: Solve for x
    x = 67,592,892.12/7,747.58
  6. Step 6: Final answer
    x = 8,724.38

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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.