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Finding the Fourth Proportional to 11,762.37, 16,231.77 and 6,457.14

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Solution

The fourth proportional to 11,762.37, 16,231.77 and 6,457.14 is: 8,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.37 : 16,231.77 = 6,457.14 : x
  2. Step 2: Convert to fraction form
    11,762.37/16,231.77 = 6,457.14/x
  3. Step 3: Cross multiply
    11,762.37x = 16,231.77 × 6,457.14
  4. Step 4: Simplify right side
    11,762.37x = 104,810,811.34
  5. Step 5: Solve for x
    x = 104,810,811.34/11,762.37
  6. Step 6: Final answer
    x = 8,910.69

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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.