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Finding the Fourth Proportional to 7,076.45, 9,768.66 and 5,188.04

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Solution

The fourth proportional to 7,076.45, 9,768.66 and 5,188.04 is: 7,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.45 : 9,768.66 = 5,188.04 : x
  2. Step 2: Convert to fraction form
    7,076.45/9,768.66 = 5,188.04/x
  3. Step 3: Cross multiply
    7,076.45x = 9,768.66 × 5,188.04
  4. Step 4: Simplify right side
    7,076.45x = 50,680,198.83
  5. Step 5: Solve for x
    x = 50,680,198.83/7,076.45
  6. Step 6: Final answer
    x = 7,161.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.