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Finding the Fourth Proportional to 7,412, 10,230.28 and 4,894.62

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Solution

The fourth proportional to 7,412, 10,230.28 and 4,894.62 is: 6,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412 : 10,230.28 = 4,894.62 : x
  2. Step 2: Convert to fraction form
    7,412/10,230.28 = 4,894.62/x
  3. Step 3: Cross multiply
    7,412x = 10,230.28 × 4,894.62
  4. Step 4: Simplify right side
    7,412x = 50,073,333.09
  5. Step 5: Solve for x
    x = 50,073,333.09/7,412
  6. Step 6: Final answer
    x = 6,755.71

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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.