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Finding the Fourth Proportional to 8,245, 11,379.92 and 6,448.92

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Solution

The fourth proportional to 8,245, 11,379.92 and 6,448.92 is: 8,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245 : 11,379.92 = 6,448.92 : x
  2. Step 2: Convert to fraction form
    8,245/11,379.92 = 6,448.92/x
  3. Step 3: Cross multiply
    8,245x = 11,379.92 × 6,448.92
  4. Step 4: Simplify right side
    8,245x = 73,388,193.69
  5. Step 5: Solve for x
    x = 73,388,193.69/8,245
  6. Step 6: Final answer
    x = 8,900.93

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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.