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Finding the Fourth Proportional to 7,849.68, 10,834.44 and 5,989.20

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Solution

The fourth proportional to 7,849.68, 10,834.44 and 5,989.20 is: 8,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.68 : 10,834.44 = 5,989.20 : x
  2. Step 2: Convert to fraction form
    7,849.68/10,834.44 = 5,989.20/x
  3. Step 3: Cross multiply
    7,849.68x = 10,834.44 × 5,989.20
  4. Step 4: Simplify right side
    7,849.68x = 64,889,628.05
  5. Step 5: Solve for x
    x = 64,889,628.05/7,849.68
  6. Step 6: Final answer
    x = 8,266.53

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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.