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Finding the Fourth Proportional to 7,935, 10,935.20 and 5,811.18

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Solution

The fourth proportional to 7,935, 10,935.20 and 5,811.18 is: 8,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935 : 10,935.20 = 5,811.18 : x
  2. Step 2: Convert to fraction form
    7,935/10,935.20 = 5,811.18/x
  3. Step 3: Cross multiply
    7,935x = 10,935.20 × 5,811.18
  4. Step 4: Simplify right side
    7,935x = 63,546,415.54
  5. Step 5: Solve for x
    x = 63,546,415.54/7,935
  6. Step 6: Final answer
    x = 8,008.37

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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.