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Finding the Fourth Proportional to 6,771.96, 10,158.53 and 2,389.46

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Solution

The fourth proportional to 6,771.96, 10,158.53 and 2,389.46 is: 3,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.96 : 10,158.53 = 2,389.46 : x
  2. Step 2: Convert to fraction form
    6,771.96/10,158.53 = 2,389.46/x
  3. Step 3: Cross multiply
    6,771.96x = 10,158.53 × 2,389.46
  4. Step 4: Simplify right side
    6,771.96x = 24,273,338.35
  5. Step 5: Solve for x
    x = 24,273,338.35/6,771.96
  6. Step 6: Final answer
    x = 3,584.39

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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.