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Finding the Fourth Proportional to 7,504.91, 11,257.60 and 2,574.48

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Solution

The fourth proportional to 7,504.91, 11,257.60 and 2,574.48 is: 3,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.91 : 11,257.60 = 2,574.48 : x
  2. Step 2: Convert to fraction form
    7,504.91/11,257.60 = 2,574.48/x
  3. Step 3: Cross multiply
    7,504.91x = 11,257.60 × 2,574.48
  4. Step 4: Simplify right side
    7,504.91x = 28,982,478.31
  5. Step 5: Solve for x
    x = 28,982,478.31/7,504.91
  6. Step 6: Final answer
    x = 3,861.80

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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.