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Finding the Fourth Proportional to 8,185.86, 11,297.07 and 4,649.33

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Solution

The fourth proportional to 8,185.86, 11,297.07 and 4,649.33 is: 6,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.86 : 11,297.07 = 4,649.33 : x
  2. Step 2: Convert to fraction form
    8,185.86/11,297.07 = 4,649.33/x
  3. Step 3: Cross multiply
    8,185.86x = 11,297.07 × 4,649.33
  4. Step 4: Simplify right side
    8,185.86x = 52,523,834.71
  5. Step 5: Solve for x
    x = 52,523,834.71/8,185.86
  6. Step 6: Final answer
    x = 6,416.41

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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.