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Finding the Fourth Proportional to 11,652.15, 16,080.05 and 6,346.92

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Solution

The fourth proportional to 11,652.15, 16,080.05 and 6,346.92 is: 8,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.15 : 16,080.05 = 6,346.92 : x
  2. Step 2: Convert to fraction form
    11,652.15/16,080.05 = 6,346.92/x
  3. Step 3: Cross multiply
    11,652.15x = 16,080.05 × 6,346.92
  4. Step 4: Simplify right side
    11,652.15x = 102,058,759.21
  5. Step 5: Solve for x
    x = 102,058,759.21/11,652.15
  6. Step 6: Final answer
    x = 8,758.79

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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.