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Finding the Fourth Proportional to 10,412.03, 15,620.02 and 3,838.73

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Solution

The fourth proportional to 10,412.03, 15,620.02 and 3,838.73 is: 5,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.03 : 15,620.02 = 3,838.73 : x
  2. Step 2: Convert to fraction form
    10,412.03/15,620.02 = 3,838.73/x
  3. Step 3: Cross multiply
    10,412.03x = 15,620.02 × 3,838.73
  4. Step 4: Simplify right side
    10,412.03x = 59,961,039.37
  5. Step 5: Solve for x
    x = 59,961,039.37/10,412.03
  6. Step 6: Final answer
    x = 5,758.82

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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.