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Finding the Fourth Proportional to 7,969.63, 10,997.89 and 4,611.98

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Solution

The fourth proportional to 7,969.63, 10,997.89 and 4,611.98 is: 6,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.63 : 10,997.89 = 4,611.98 : x
  2. Step 2: Convert to fraction form
    7,969.63/10,997.89 = 4,611.98/x
  3. Step 3: Cross multiply
    7,969.63x = 10,997.89 × 4,611.98
  4. Step 4: Simplify right side
    7,969.63x = 50,722,048.72
  5. Step 5: Solve for x
    x = 50,722,048.72/7,969.63
  6. Step 6: Final answer
    x = 6,364.42

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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.