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Finding the Fourth Proportional to 10,685.40, 16,035.12 and 3,759.84

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Solution

The fourth proportional to 10,685.40, 16,035.12 and 3,759.84 is: 5,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.40 : 16,035.12 = 3,759.84 : x
  2. Step 2: Convert to fraction form
    10,685.40/16,035.12 = 3,759.84/x
  3. Step 3: Cross multiply
    10,685.40x = 16,035.12 × 3,759.84
  4. Step 4: Simplify right side
    10,685.40x = 60,289,485.58
  5. Step 5: Solve for x
    x = 60,289,485.58/10,685.40
  6. Step 6: Final answer
    x = 5,642.23

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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.