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Finding the Fourth Proportional to 7,942.60, 10,965.78 and 7,193.80

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Solution

The fourth proportional to 7,942.60, 10,965.78 and 7,193.80 is: 9,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.60 : 10,965.78 = 7,193.80 : x
  2. Step 2: Convert to fraction form
    7,942.60/10,965.78 = 7,193.80/x
  3. Step 3: Cross multiply
    7,942.60x = 10,965.78 × 7,193.80
  4. Step 4: Simplify right side
    7,942.60x = 78,885,628.16
  5. Step 5: Solve for x
    x = 78,885,628.16/7,942.60
  6. Step 6: Final answer
    x = 9,931.97

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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.