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Finding the Fourth Proportional to 11,853.86, 17,777.43 and 4,457.66

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Solution

The fourth proportional to 11,853.86, 17,777.43 and 4,457.66 is: 6,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.86 : 17,777.43 = 4,457.66 : x
  2. Step 2: Convert to fraction form
    11,853.86/17,777.43 = 4,457.66/x
  3. Step 3: Cross multiply
    11,853.86x = 17,777.43 × 4,457.66
  4. Step 4: Simplify right side
    11,853.86x = 79,245,738.61
  5. Step 5: Solve for x
    x = 79,245,738.61/11,853.86
  6. Step 6: Final answer
    x = 6,685.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.