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Finding the Fourth Proportional to 6,984.57, 10,464.68 and 5,822.05

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Solution

The fourth proportional to 6,984.57, 10,464.68 and 5,822.05 is: 8,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.57 : 10,464.68 = 5,822.05 : x
  2. Step 2: Convert to fraction form
    6,984.57/10,464.68 = 5,822.05/x
  3. Step 3: Cross multiply
    6,984.57x = 10,464.68 × 5,822.05
  4. Step 4: Simplify right side
    6,984.57x = 60,925,834.92
  5. Step 5: Solve for x
    x = 60,925,834.92/6,984.57
  6. Step 6: Final answer
    x = 8,722.91

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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.