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Finding the Fourth Proportional to 7,849.71, 11,771.22 and 3,168.45

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Solution

The fourth proportional to 7,849.71, 11,771.22 and 3,168.45 is: 4,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.71 : 11,771.22 = 3,168.45 : x
  2. Step 2: Convert to fraction form
    7,849.71/11,771.22 = 3,168.45/x
  3. Step 3: Cross multiply
    7,849.71x = 11,771.22 × 3,168.45
  4. Step 4: Simplify right side
    7,849.71x = 37,296,522.01
  5. Step 5: Solve for x
    x = 37,296,522.01/7,849.71
  6. Step 6: Final answer
    x = 4,751.32

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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.