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Finding the Fourth Proportional to 7,768.80, 11,630.34 and 5,131.44

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Solution

The fourth proportional to 7,768.80, 11,630.34 and 5,131.44 is: 7,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.80 : 11,630.34 = 5,131.44 : x
  2. Step 2: Convert to fraction form
    7,768.80/11,630.34 = 5,131.44/x
  3. Step 3: Cross multiply
    7,768.80x = 11,630.34 × 5,131.44
  4. Step 4: Simplify right side
    7,768.80x = 59,680,391.89
  5. Step 5: Solve for x
    x = 59,680,391.89/7,768.80
  6. Step 6: Final answer
    x = 7,682.06

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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.