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Finding the Fourth Proportional to 7,836.06, 10,814.22 and 4,650.33

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Solution

The fourth proportional to 7,836.06, 10,814.22 and 4,650.33 is: 6,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.06 : 10,814.22 = 4,650.33 : x
  2. Step 2: Convert to fraction form
    7,836.06/10,814.22 = 4,650.33/x
  3. Step 3: Cross multiply
    7,836.06x = 10,814.22 × 4,650.33
  4. Step 4: Simplify right side
    7,836.06x = 50,289,691.69
  5. Step 5: Solve for x
    x = 50,289,691.69/7,836.06
  6. Step 6: Final answer
    x = 6,417.73

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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.