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Finding the Fourth Proportional to 11,763.98, 16,234.33 and 6,386.42

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Solution

The fourth proportional to 11,763.98, 16,234.33 and 6,386.42 is: 8,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.98 : 16,234.33 = 6,386.42 : x
  2. Step 2: Convert to fraction form
    11,763.98/16,234.33 = 6,386.42/x
  3. Step 3: Cross multiply
    11,763.98x = 16,234.33 × 6,386.42
  4. Step 4: Simplify right side
    11,763.98x = 103,679,304.35
  5. Step 5: Solve for x
    x = 103,679,304.35/11,763.98
  6. Step 6: Final answer
    x = 8,813.29

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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.