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Finding the Fourth Proportional to 10,820.33, 16,237.74 and 3,800.37

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Solution

The fourth proportional to 10,820.33, 16,237.74 and 3,800.37 is: 5,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.33 : 16,237.74 = 3,800.37 : x
  2. Step 2: Convert to fraction form
    10,820.33/16,237.74 = 3,800.37/x
  3. Step 3: Cross multiply
    10,820.33x = 16,237.74 × 3,800.37
  4. Step 4: Simplify right side
    10,820.33x = 61,709,329.27
  5. Step 5: Solve for x
    x = 61,709,329.27/10,820.33
  6. Step 6: Final answer
    x = 5,703.09

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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.