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Finding the Fourth Proportional to 7,412.78, 10,230.90 and 4,270.79

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Solution

The fourth proportional to 7,412.78, 10,230.90 and 4,270.79 is: 5,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.78 : 10,230.90 = 4,270.79 : x
  2. Step 2: Convert to fraction form
    7,412.78/10,230.90 = 4,270.79/x
  3. Step 3: Cross multiply
    7,412.78x = 10,230.90 × 4,270.79
  4. Step 4: Simplify right side
    7,412.78x = 43,694,025.41
  5. Step 5: Solve for x
    x = 43,694,025.41/7,412.78
  6. Step 6: Final answer
    x = 5,894.42

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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.