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Finding the Fourth Proportional to 11,761.12, 16,230.84 and 6,456.16

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Solution

The fourth proportional to 11,761.12, 16,230.84 and 6,456.16 is: 8,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.12 : 16,230.84 = 6,456.16 : x
  2. Step 2: Convert to fraction form
    11,761.12/16,230.84 = 6,456.16/x
  3. Step 3: Cross multiply
    11,761.12x = 16,230.84 × 6,456.16
  4. Step 4: Simplify right side
    11,761.12x = 104,788,899.97
  5. Step 5: Solve for x
    x = 104,788,899.97/11,761.12
  6. Step 6: Final answer
    x = 8,909.77

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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.