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Finding the Fourth Proportional to 10,851.77, 16,273.40 and 3,830.28

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Solution

The fourth proportional to 10,851.77, 16,273.40 and 3,830.28 is: 5,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.77 : 16,273.40 = 3,830.28 : x
  2. Step 2: Convert to fraction form
    10,851.77/16,273.40 = 3,830.28/x
  3. Step 3: Cross multiply
    10,851.77x = 16,273.40 × 3,830.28
  4. Step 4: Simplify right side
    10,851.77x = 62,331,700.08
  5. Step 5: Solve for x
    x = 62,331,700.08/10,851.77
  6. Step 6: Final answer
    x = 5,743.92

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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.