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Finding the Fourth Proportional to 10,028.42, 13,839.74 and 5,552.67

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Solution

The fourth proportional to 10,028.42, 13,839.74 and 5,552.67 is: 7,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.42 : 13,839.74 = 5,552.67 : x
  2. Step 2: Convert to fraction form
    10,028.42/13,839.74 = 5,552.67/x
  3. Step 3: Cross multiply
    10,028.42x = 13,839.74 × 5,552.67
  4. Step 4: Simplify right side
    10,028.42x = 76,847,460.60
  5. Step 5: Solve for x
    x = 76,847,460.60/10,028.42
  6. Step 6: Final answer
    x = 7,662.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.