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Finding the Fourth Proportional to 10,705.80, 16,073.21 and 6,029.06

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Solution

The fourth proportional to 10,705.80, 16,073.21 and 6,029.06 is: 9,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.80 : 16,073.21 = 6,029.06 : x
  2. Step 2: Convert to fraction form
    10,705.80/16,073.21 = 6,029.06/x
  3. Step 3: Cross multiply
    10,705.80x = 16,073.21 × 6,029.06
  4. Step 4: Simplify right side
    10,705.80x = 96,906,310.44
  5. Step 5: Solve for x
    x = 96,906,310.44/10,705.80
  6. Step 6: Final answer
    x = 9,051.76

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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.