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Finding the Fourth Proportional to 7,768.32, 11,626.62 and 7,076.58

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Solution

The fourth proportional to 7,768.32, 11,626.62 and 7,076.58 is: 10,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.32 : 11,626.62 = 7,076.58 : x
  2. Step 2: Convert to fraction form
    7,768.32/11,626.62 = 7,076.58/x
  3. Step 3: Cross multiply
    7,768.32x = 11,626.62 × 7,076.58
  4. Step 4: Simplify right side
    7,768.32x = 82,276,706.56
  5. Step 5: Solve for x
    x = 82,276,706.56/7,768.32
  6. Step 6: Final answer
    x = 10,591.31

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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.