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Finding the Fourth Proportional to 7,923.56, 10,935.34 and 5,930.62

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Solution

The fourth proportional to 7,923.56, 10,935.34 and 5,930.62 is: 8,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.56 : 10,935.34 = 5,930.62 : x
  2. Step 2: Convert to fraction form
    7,923.56/10,935.34 = 5,930.62/x
  3. Step 3: Cross multiply
    7,923.56x = 10,935.34 × 5,930.62
  4. Step 4: Simplify right side
    7,923.56x = 64,853,303.95
  5. Step 5: Solve for x
    x = 64,853,303.95/7,923.56
  6. Step 6: Final answer
    x = 8,184.87

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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.