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Finding the Fourth Proportional to 7,940.82, 10,940.64 and 5,812.74

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Solution

The fourth proportional to 7,940.82, 10,940.64 and 5,812.74 is: 8,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.82 : 10,940.64 = 5,812.74 : x
  2. Step 2: Convert to fraction form
    7,940.82/10,940.64 = 5,812.74/x
  3. Step 3: Cross multiply
    7,940.82x = 10,940.64 × 5,812.74
  4. Step 4: Simplify right side
    7,940.82x = 63,595,095.75
  5. Step 5: Solve for x
    x = 63,595,095.75/7,940.82
  6. Step 6: Final answer
    x = 8,008.63

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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.