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Finding the Fourth Proportional to 7,727.04, 10,665 and 4,744.44

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Solution

The fourth proportional to 7,727.04, 10,665 and 4,744.44 is: 6,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.04 : 10,665 = 4,744.44 : x
  2. Step 2: Convert to fraction form
    7,727.04/10,665 = 4,744.44/x
  3. Step 3: Cross multiply
    7,727.04x = 10,665 × 4,744.44
  4. Step 4: Simplify right side
    7,727.04x = 50,599,452.60
  5. Step 5: Solve for x
    x = 50,599,452.60/7,727.04
  6. Step 6: Final answer
    x = 6,548.36

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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.