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Finding the Fourth Proportional to 7,766.35, 11,649.39 and 1,922.94

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Solution

The fourth proportional to 7,766.35, 11,649.39 and 1,922.94 is: 2,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.35 : 11,649.39 = 1,922.94 : x
  2. Step 2: Convert to fraction form
    7,766.35/11,649.39 = 1,922.94/x
  3. Step 3: Cross multiply
    7,766.35x = 11,649.39 × 1,922.94
  4. Step 4: Simplify right side
    7,766.35x = 22,401,070.80
  5. Step 5: Solve for x
    x = 22,401,070.80/7,766.35
  6. Step 6: Final answer
    x = 2,884.38

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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.