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Finding the Fourth Proportional to 10,759.66, 16,139.42 and 4,190.44

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Solution

The fourth proportional to 10,759.66, 16,139.42 and 4,190.44 is: 6,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.66 : 16,139.42 = 4,190.44 : x
  2. Step 2: Convert to fraction form
    10,759.66/16,139.42 = 4,190.44/x
  3. Step 3: Cross multiply
    10,759.66x = 16,139.42 × 4,190.44
  4. Step 4: Simplify right side
    10,759.66x = 67,631,271.14
  5. Step 5: Solve for x
    x = 67,631,271.14/10,759.66
  6. Step 6: Final answer
    x = 6,285.63

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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.