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Finding the Fourth Proportional to 8,223.44, 11,345.16 and 5,238.74

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Solution

The fourth proportional to 8,223.44, 11,345.16 and 5,238.74 is: 7,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.44 : 11,345.16 = 5,238.74 : x
  2. Step 2: Convert to fraction form
    8,223.44/11,345.16 = 5,238.74/x
  3. Step 3: Cross multiply
    8,223.44x = 11,345.16 × 5,238.74
  4. Step 4: Simplify right side
    8,223.44x = 59,434,343.50
  5. Step 5: Solve for x
    x = 59,434,343.50/8,223.44
  6. Step 6: Final answer
    x = 7,227.43

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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.