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Finding the Fourth Proportional to 11,764.67, 16,235.26 and 6,387.11

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Solution

The fourth proportional to 11,764.67, 16,235.26 and 6,387.11 is: 8,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.67 : 16,235.26 = 6,387.11 : x
  2. Step 2: Convert to fraction form
    11,764.67/16,235.26 = 6,387.11/x
  3. Step 3: Cross multiply
    11,764.67x = 16,235.26 × 6,387.11
  4. Step 4: Simplify right side
    11,764.67x = 103,696,310.32
  5. Step 5: Solve for x
    x = 103,696,310.32/11,764.67
  6. Step 6: Final answer
    x = 8,814.21

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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.