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Finding the Fourth Proportional to 11,766.80, 16,238.12 and 6,389.34

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Solution

The fourth proportional to 11,766.80, 16,238.12 and 6,389.34 is: 8,817.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.80 : 16,238.12 = 6,389.34 : x
  2. Step 2: Convert to fraction form
    11,766.80/16,238.12 = 6,389.34/x
  3. Step 3: Cross multiply
    11,766.80x = 16,238.12 × 6,389.34
  4. Step 4: Simplify right side
    11,766.80x = 103,750,869.64
  5. Step 5: Solve for x
    x = 103,750,869.64/11,766.80
  6. Step 6: Final answer
    x = 8,817.25

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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.