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Finding the Fourth Proportional to 6,583.80, 9,824.74 and 5,882.85

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Solution

The fourth proportional to 6,583.80, 9,824.74 and 5,882.85 is: 8,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.80 : 9,824.74 = 5,882.85 : x
  2. Step 2: Convert to fraction form
    6,583.80/9,824.74 = 5,882.85/x
  3. Step 3: Cross multiply
    6,583.80x = 9,824.74 × 5,882.85
  4. Step 4: Simplify right side
    6,583.80x = 57,797,471.71
  5. Step 5: Solve for x
    x = 57,797,471.71/6,583.80
  6. Step 6: Final answer
    x = 8,778.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.