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Finding the Fourth Proportional to 7,946.43, 10,943.87 and 7,774.24

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Solution

The fourth proportional to 7,946.43, 10,943.87 and 7,774.24 is: 10,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.43 : 10,943.87 = 7,774.24 : x
  2. Step 2: Convert to fraction form
    7,946.43/10,943.87 = 7,774.24/x
  3. Step 3: Cross multiply
    7,946.43x = 10,943.87 × 7,774.24
  4. Step 4: Simplify right side
    7,946.43x = 85,080,217.19
  5. Step 5: Solve for x
    x = 85,080,217.19/7,946.43
  6. Step 6: Final answer
    x = 10,706.73

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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.