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Finding the Fourth Proportional to 10,859.82, 16,290.34 and 4,196.34

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Solution

The fourth proportional to 10,859.82, 16,290.34 and 4,196.34 is: 6,294.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.82 : 16,290.34 = 4,196.34 : x
  2. Step 2: Convert to fraction form
    10,859.82/16,290.34 = 4,196.34/x
  3. Step 3: Cross multiply
    10,859.82x = 16,290.34 × 4,196.34
  4. Step 4: Simplify right side
    10,859.82x = 68,359,805.36
  5. Step 5: Solve for x
    x = 68,359,805.36/10,859.82
  6. Step 6: Final answer
    x = 6,294.75

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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.