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Finding the Fourth Proportional to 10,851.99, 16,273.85 and 3,830.69

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Solution

The fourth proportional to 10,851.99, 16,273.85 and 3,830.69 is: 5,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.99 : 16,273.85 = 3,830.69 : x
  2. Step 2: Convert to fraction form
    10,851.99/16,273.85 = 3,830.69/x
  3. Step 3: Cross multiply
    10,851.99x = 16,273.85 × 3,830.69
  4. Step 4: Simplify right side
    10,851.99x = 62,340,095.99
  5. Step 5: Solve for x
    x = 62,340,095.99/10,851.99
  6. Step 6: Final answer
    x = 5,744.58

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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.