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Finding the Fourth Proportional to 6,777.84, 10,166.40 and 2,395.20

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Solution

The fourth proportional to 6,777.84, 10,166.40 and 2,395.20 is: 3,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,777.84 : 10,166.40 = 2,395.20 : x
  2. Step 2: Convert to fraction form
    6,777.84/10,166.40 = 2,395.20/x
  3. Step 3: Cross multiply
    6,777.84x = 10,166.40 × 2,395.20
  4. Step 4: Simplify right side
    6,777.84x = 24,350,561.28
  5. Step 5: Solve for x
    x = 24,350,561.28/6,777.84
  6. Step 6: Final answer
    x = 3,592.67

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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.