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Finding the Fourth Proportional to 11,762.78, 16,231.67 and 6,457.41

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Solution

The fourth proportional to 11,762.78, 16,231.67 and 6,457.41 is: 8,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.78 : 16,231.67 = 6,457.41 : x
  2. Step 2: Convert to fraction form
    11,762.78/16,231.67 = 6,457.41/x
  3. Step 3: Cross multiply
    11,762.78x = 16,231.67 × 6,457.41
  4. Step 4: Simplify right side
    11,762.78x = 104,814,515.89
  5. Step 5: Solve for x
    x = 104,814,515.89/11,762.78
  6. Step 6: Final answer
    x = 8,910.70

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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.