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Finding the Fourth Proportional to 10,684.95, 16,027.21 and 2,893.56

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Solution

The fourth proportional to 10,684.95, 16,027.21 and 2,893.56 is: 4,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.95 : 16,027.21 = 2,893.56 : x
  2. Step 2: Convert to fraction form
    10,684.95/16,027.21 = 2,893.56/x
  3. Step 3: Cross multiply
    10,684.95x = 16,027.21 × 2,893.56
  4. Step 4: Simplify right side
    10,684.95x = 46,375,693.77
  5. Step 5: Solve for x
    x = 46,375,693.77/10,684.95
  6. Step 6: Final answer
    x = 4,340.28

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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.