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Finding the Fourth Proportional to 7,727.16, 10,662.84 and 4,369.80

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Solution

The fourth proportional to 7,727.16, 10,662.84 and 4,369.80 is: 6,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.16 : 10,662.84 = 4,369.80 : x
  2. Step 2: Convert to fraction form
    7,727.16/10,662.84 = 4,369.80/x
  3. Step 3: Cross multiply
    7,727.16x = 10,662.84 × 4,369.80
  4. Step 4: Simplify right side
    7,727.16x = 46,594,478.23
  5. Step 5: Solve for x
    x = 46,594,478.23/7,727.16
  6. Step 6: Final answer
    x = 6,029.96

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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.