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Finding the Fourth Proportional to 7,970.43, 10,997.69 and 4,613.43

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Solution

The fourth proportional to 7,970.43, 10,997.69 and 4,613.43 is: 6,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.43 : 10,997.69 = 4,613.43 : x
  2. Step 2: Convert to fraction form
    7,970.43/10,997.69 = 4,613.43/x
  3. Step 3: Cross multiply
    7,970.43x = 10,997.69 × 4,613.43
  4. Step 4: Simplify right side
    7,970.43x = 50,737,049.91
  5. Step 5: Solve for x
    x = 50,737,049.91/7,970.43
  6. Step 6: Final answer
    x = 6,365.66

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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.