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Finding the Fourth Proportional to 10,685.37, 16,026.44 and 3,758.25

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Solution

The fourth proportional to 10,685.37, 16,026.44 and 3,758.25 is: 5,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.37 : 16,026.44 = 3,758.25 : x
  2. Step 2: Convert to fraction form
    10,685.37/16,026.44 = 3,758.25/x
  3. Step 3: Cross multiply
    10,685.37x = 16,026.44 × 3,758.25
  4. Step 4: Simplify right side
    10,685.37x = 60,231,349.34
  5. Step 5: Solve for x
    x = 60,231,349.34/10,685.37
  6. Step 6: Final answer
    x = 5,636.81

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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.