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Finding the Fourth Proportional to 7,010.27, 9,674.24 and 3,823.54

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Solution

The fourth proportional to 7,010.27, 9,674.24 and 3,823.54 is: 5,276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.27 : 9,674.24 = 3,823.54 : x
  2. Step 2: Convert to fraction form
    7,010.27/9,674.24 = 3,823.54/x
  3. Step 3: Cross multiply
    7,010.27x = 9,674.24 × 3,823.54
  4. Step 4: Simplify right side
    7,010.27x = 36,989,843.61
  5. Step 5: Solve for x
    x = 36,989,843.61/7,010.27
  6. Step 6: Final answer
    x = 5,276.52

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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.