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Finding the Fourth Proportional to 10,710.73, 16,072.17 and 4,137.38

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Solution

The fourth proportional to 10,710.73, 16,072.17 and 4,137.38 is: 6,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.73 : 16,072.17 = 4,137.38 : x
  2. Step 2: Convert to fraction form
    10,710.73/16,072.17 = 4,137.38/x
  3. Step 3: Cross multiply
    10,710.73x = 16,072.17 × 4,137.38
  4. Step 4: Simplify right side
    10,710.73x = 66,496,573.67
  5. Step 5: Solve for x
    x = 66,496,573.67/10,710.73
  6. Step 6: Final answer
    x = 6,208.41

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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.