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Finding the Fourth Proportional to 11,820.92, 16,290.41 and 8,457.89

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Solution

The fourth proportional to 11,820.92, 16,290.41 and 8,457.89 is: 11,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.92 : 16,290.41 = 8,457.89 : x
  2. Step 2: Convert to fraction form
    11,820.92/16,290.41 = 8,457.89/x
  3. Step 3: Cross multiply
    11,820.92x = 16,290.41 × 8,457.89
  4. Step 4: Simplify right side
    11,820.92x = 137,782,372.09
  5. Step 5: Solve for x
    x = 137,782,372.09/11,820.92
  6. Step 6: Final answer
    x = 11,655.81

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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.