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Finding the Fourth Proportional to 10,705.76, 16,058.73 and 3,310.20

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Solution

The fourth proportional to 10,705.76, 16,058.73 and 3,310.20 is: 4,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.76 : 16,058.73 = 3,310.20 : x
  2. Step 2: Convert to fraction form
    10,705.76/16,058.73 = 3,310.20/x
  3. Step 3: Cross multiply
    10,705.76x = 16,058.73 × 3,310.20
  4. Step 4: Simplify right side
    10,705.76x = 53,157,608.05
  5. Step 5: Solve for x
    x = 53,157,608.05/10,705.76
  6. Step 6: Final answer
    x = 4,965.33

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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.