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Finding the Fourth Proportional to 10,735.94, 16,086.14 and 4,158.54

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Solution

The fourth proportional to 10,735.94, 16,086.14 and 4,158.54 is: 6,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.94 : 16,086.14 = 4,158.54 : x
  2. Step 2: Convert to fraction form
    10,735.94/16,086.14 = 4,158.54/x
  3. Step 3: Cross multiply
    10,735.94x = 16,086.14 × 4,158.54
  4. Step 4: Simplify right side
    10,735.94x = 66,894,874.83
  5. Step 5: Solve for x
    x = 66,894,874.83/10,735.94
  6. Step 6: Final answer
    x = 6,230.93

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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.