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Finding the Fourth Proportional to 7,162.98, 9,882.60 and 5,834.34

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Solution

The fourth proportional to 7,162.98, 9,882.60 and 5,834.34 is: 8,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.98 : 9,882.60 = 5,834.34 : x
  2. Step 2: Convert to fraction form
    7,162.98/9,882.60 = 5,834.34/x
  3. Step 3: Cross multiply
    7,162.98x = 9,882.60 × 5,834.34
  4. Step 4: Simplify right side
    7,162.98x = 57,658,448.48
  5. Step 5: Solve for x
    x = 57,658,448.48/7,162.98
  6. Step 6: Final answer
    x = 8,049.51

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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.