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Finding the Fourth Proportional to 10,858.82, 16,288.84 and 4,195.34

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Solution

The fourth proportional to 10,858.82, 16,288.84 and 4,195.34 is: 6,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.82 : 16,288.84 = 4,195.34 : x
  2. Step 2: Convert to fraction form
    10,858.82/16,288.84 = 4,195.34/x
  3. Step 3: Cross multiply
    10,858.82x = 16,288.84 × 4,195.34
  4. Step 4: Simplify right side
    10,858.82x = 68,337,222.01
  5. Step 5: Solve for x
    x = 68,337,222.01/10,858.82
  6. Step 6: Final answer
    x = 6,293.25

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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.