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Finding the Fourth Proportional to 10,685.93, 16,032.41 and 5,138.57

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Solution

The fourth proportional to 10,685.93, 16,032.41 and 5,138.57 is: 7,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.93 : 16,032.41 = 5,138.57 : x
  2. Step 2: Convert to fraction form
    10,685.93/16,032.41 = 5,138.57/x
  3. Step 3: Cross multiply
    10,685.93x = 16,032.41 × 5,138.57
  4. Step 4: Simplify right side
    10,685.93x = 82,383,593.74
  5. Step 5: Solve for x
    x = 82,383,593.74/10,685.93
  6. Step 6: Final answer
    x = 7,709.54

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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.