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Finding the Fourth Proportional to 10,685.39, 16,028.08 and 4,441.16

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Solution

The fourth proportional to 10,685.39, 16,028.08 and 4,441.16 is: 6,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.39 : 16,028.08 = 4,441.16 : x
  2. Step 2: Convert to fraction form
    10,685.39/16,028.08 = 4,441.16/x
  3. Step 3: Cross multiply
    10,685.39x = 16,028.08 × 4,441.16
  4. Step 4: Simplify right side
    10,685.39x = 71,183,296.74
  5. Step 5: Solve for x
    x = 71,183,296.74/10,685.39
  6. Step 6: Final answer
    x = 6,661.74

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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.