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Finding the Fourth Proportional to 7,727.66, 10,662.36 and 5,214.42

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Solution

The fourth proportional to 7,727.66, 10,662.36 and 5,214.42 is: 7,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.66 : 10,662.36 = 5,214.42 : x
  2. Step 2: Convert to fraction form
    7,727.66/10,662.36 = 5,214.42/x
  3. Step 3: Cross multiply
    7,727.66x = 10,662.36 × 5,214.42
  4. Step 4: Simplify right side
    7,727.66x = 55,598,023.23
  5. Step 5: Solve for x
    x = 55,598,023.23/7,727.66
  6. Step 6: Final answer
    x = 7,194.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.