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Finding the Fourth Proportional to 6,777.76, 10,173.06 and 3,493.12

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Solution

The fourth proportional to 6,777.76, 10,173.06 and 3,493.12 is: 5,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.76 : 10,173.06 = 3,493.12 : x
  2. Step 2: Convert to fraction form
    6,777.76/10,173.06 = 3,493.12/x
  3. Step 3: Cross multiply
    6,777.76x = 10,173.06 × 3,493.12
  4. Step 4: Simplify right side
    6,777.76x = 35,535,719.35
  5. Step 5: Solve for x
    x = 35,535,719.35/6,777.76
  6. Step 6: Final answer
    x = 5,242.99

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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.