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Finding the Fourth Proportional to 10,701, 16,053.08 and 3,682.82

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Solution

The fourth proportional to 10,701, 16,053.08 and 3,682.82 is: 5,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701 : 16,053.08 = 3,682.82 : x
  2. Step 2: Convert to fraction form
    10,701/16,053.08 = 3,682.82/x
  3. Step 3: Cross multiply
    10,701x = 16,053.08 × 3,682.82
  4. Step 4: Simplify right side
    10,701x = 59,120,505.41
  5. Step 5: Solve for x
    x = 59,120,505.41/10,701
  6. Step 6: Final answer
    x = 5,524.76

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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.