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Finding the Fourth Proportional to 11,766.70, 17,652.23 and 3,869.65

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Solution

The fourth proportional to 11,766.70, 17,652.23 and 3,869.65 is: 5,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.70 : 17,652.23 = 3,869.65 : x
  2. Step 2: Convert to fraction form
    11,766.70/17,652.23 = 3,869.65/x
  3. Step 3: Cross multiply
    11,766.70x = 17,652.23 × 3,869.65
  4. Step 4: Simplify right side
    11,766.70x = 68,307,888.34
  5. Step 5: Solve for x
    x = 68,307,888.34/11,766.70
  6. Step 6: Final answer
    x = 5,805.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.