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Finding the Fourth Proportional to 7,502.35, 11,255.10 and 2,822.27

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Solution

The fourth proportional to 7,502.35, 11,255.10 and 2,822.27 is: 4,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.35 : 11,255.10 = 2,822.27 : x
  2. Step 2: Convert to fraction form
    7,502.35/11,255.10 = 2,822.27/x
  3. Step 3: Cross multiply
    7,502.35x = 11,255.10 × 2,822.27
  4. Step 4: Simplify right side
    7,502.35x = 31,764,916.97
  5. Step 5: Solve for x
    x = 31,764,916.97/7,502.35
  6. Step 6: Final answer
    x = 4,234.00

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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.