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Finding the Fourth Proportional to 7,922.82, 11,899.62 and 5,834.58

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Solution

The fourth proportional to 7,922.82, 11,899.62 and 5,834.58 is: 8,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.82 : 11,899.62 = 5,834.58 : x
  2. Step 2: Convert to fraction form
    7,922.82/11,899.62 = 5,834.58/x
  3. Step 3: Cross multiply
    7,922.82x = 11,899.62 × 5,834.58
  4. Step 4: Simplify right side
    7,922.82x = 69,429,284.86
  5. Step 5: Solve for x
    x = 69,429,284.86/7,922.82
  6. Step 6: Final answer
    x = 8,763.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.