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Finding the Fourth Proportional to 10,128.38, 15,199.32 and 3,893.54

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Solution

The fourth proportional to 10,128.38, 15,199.32 and 3,893.54 is: 5,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.38 : 15,199.32 = 3,893.54 : x
  2. Step 2: Convert to fraction form
    10,128.38/15,199.32 = 3,893.54/x
  3. Step 3: Cross multiply
    10,128.38x = 15,199.32 × 3,893.54
  4. Step 4: Simplify right side
    10,128.38x = 59,179,064.93
  5. Step 5: Solve for x
    x = 59,179,064.93/10,128.38
  6. Step 6: Final answer
    x = 5,842.90

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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.