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Finding the Fourth Proportional to 7,822.86, 11,736.69 and 5,629.74

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Solution

The fourth proportional to 7,822.86, 11,736.69 and 5,629.74 is: 8,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.86 : 11,736.69 = 5,629.74 : x
  2. Step 2: Convert to fraction form
    7,822.86/11,736.69 = 5,629.74/x
  3. Step 3: Cross multiply
    7,822.86x = 11,736.69 × 5,629.74
  4. Step 4: Simplify right side
    7,822.86x = 66,074,513.16
  5. Step 5: Solve for x
    x = 66,074,513.16/7,822.86
  6. Step 6: Final answer
    x = 8,446.34

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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.