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Finding the Fourth Proportional to 10,706.82, 16,061.50 and 4,042.56

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Solution

The fourth proportional to 10,706.82, 16,061.50 and 4,042.56 is: 6,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.82 : 16,061.50 = 4,042.56 : x
  2. Step 2: Convert to fraction form
    10,706.82/16,061.50 = 4,042.56/x
  3. Step 3: Cross multiply
    10,706.82x = 16,061.50 × 4,042.56
  4. Step 4: Simplify right side
    10,706.82x = 64,929,577.44
  5. Step 5: Solve for x
    x = 64,929,577.44/10,706.82
  6. Step 6: Final answer
    x = 6,064.32

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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.