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Finding the Fourth Proportional to 11,786.90, 17,678.19 and 4,766.54

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Solution

The fourth proportional to 11,786.90, 17,678.19 and 4,766.54 is: 7,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.90 : 17,678.19 = 4,766.54 : x
  2. Step 2: Convert to fraction form
    11,786.90/17,678.19 = 4,766.54/x
  3. Step 3: Cross multiply
    11,786.90x = 17,678.19 × 4,766.54
  4. Step 4: Simplify right side
    11,786.90x = 84,263,799.76
  5. Step 5: Solve for x
    x = 84,263,799.76/11,786.90
  6. Step 6: Final answer
    x = 7,148.94

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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.