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Finding the Fourth Proportional to 11,786.96, 16,266.04 and 6,482.32

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Solution

The fourth proportional to 11,786.96, 16,266.04 and 6,482.32 is: 8,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.96 : 16,266.04 = 6,482.32 : x
  2. Step 2: Convert to fraction form
    11,786.96/16,266.04 = 6,482.32/x
  3. Step 3: Cross multiply
    11,786.96x = 16,266.04 × 6,482.32
  4. Step 4: Simplify right side
    11,786.96x = 105,441,676.41
  5. Step 5: Solve for x
    x = 105,441,676.41/11,786.96
  6. Step 6: Final answer
    x = 8,945.62

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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.