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Finding the Fourth Proportional to 11,765.22, 16,236.12 and 6,460.08

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Solution

The fourth proportional to 11,765.22, 16,236.12 and 6,460.08 is: 8,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.22 : 16,236.12 = 6,460.08 : x
  2. Step 2: Convert to fraction form
    11,765.22/16,236.12 = 6,460.08/x
  3. Step 3: Cross multiply
    11,765.22x = 16,236.12 × 6,460.08
  4. Step 4: Simplify right side
    11,765.22x = 104,886,634.09
  5. Step 5: Solve for x
    x = 104,886,634.09/11,765.22
  6. Step 6: Final answer
    x = 8,914.97

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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.