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Finding the Fourth Proportional to 7,142.72, 10,717.72 and 3,246.64

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Solution

The fourth proportional to 7,142.72, 10,717.72 and 3,246.64 is: 4,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.72 : 10,717.72 = 3,246.64 : x
  2. Step 2: Convert to fraction form
    7,142.72/10,717.72 = 3,246.64/x
  3. Step 3: Cross multiply
    7,142.72x = 10,717.72 × 3,246.64
  4. Step 4: Simplify right side
    7,142.72x = 34,796,578.46
  5. Step 5: Solve for x
    x = 34,796,578.46/7,142.72
  6. Step 6: Final answer
    x = 4,871.61

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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.