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Finding the Fourth Proportional to 10,706.94, 16,051.17 and 4,137.73

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Solution

The fourth proportional to 10,706.94, 16,051.17 and 4,137.73 is: 6,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.94 : 16,051.17 = 4,137.73 : x
  2. Step 2: Convert to fraction form
    10,706.94/16,051.17 = 4,137.73/x
  3. Step 3: Cross multiply
    10,706.94x = 16,051.17 × 4,137.73
  4. Step 4: Simplify right side
    10,706.94x = 66,415,407.64
  5. Step 5: Solve for x
    x = 66,415,407.64/10,706.94
  6. Step 6: Final answer
    x = 6,203.02

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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.