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Finding the Fourth Proportional to 8,619.86, 11,900.32 and 5,792.30

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Solution

The fourth proportional to 8,619.86, 11,900.32 and 5,792.30 is: 7,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.86 : 11,900.32 = 5,792.30 : x
  2. Step 2: Convert to fraction form
    8,619.86/11,900.32 = 5,792.30/x
  3. Step 3: Cross multiply
    8,619.86x = 11,900.32 × 5,792.30
  4. Step 4: Simplify right side
    8,619.86x = 68,930,223.54
  5. Step 5: Solve for x
    x = 68,930,223.54/8,619.86
  6. Step 6: Final answer
    x = 7,996.68

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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.