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Finding the Fourth Proportional to 7,704.81, 10,622.84 and 5,181.56

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Solution

The fourth proportional to 7,704.81, 10,622.84 and 5,181.56 is: 7,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.81 : 10,622.84 = 5,181.56 : x
  2. Step 2: Convert to fraction form
    7,704.81/10,622.84 = 5,181.56/x
  3. Step 3: Cross multiply
    7,704.81x = 10,622.84 × 5,181.56
  4. Step 4: Simplify right side
    7,704.81x = 55,042,803.81
  5. Step 5: Solve for x
    x = 55,042,803.81/7,704.81
  6. Step 6: Final answer
    x = 7,143.95

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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.