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Finding the Fourth Proportional to 10,694.94, 16,040.25 and 2,903.82

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Solution

The fourth proportional to 10,694.94, 16,040.25 and 2,903.82 is: 4,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.94 : 16,040.25 = 2,903.82 : x
  2. Step 2: Convert to fraction form
    10,694.94/16,040.25 = 2,903.82/x
  3. Step 3: Cross multiply
    10,694.94x = 16,040.25 × 2,903.82
  4. Step 4: Simplify right side
    10,694.94x = 46,577,998.76
  5. Step 5: Solve for x
    x = 46,577,998.76/10,694.94
  6. Step 6: Final answer
    x = 4,355.14

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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.