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Finding the Fourth Proportional to 8,218.44, 11,363.06 and 7,851.24

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Solution

The fourth proportional to 8,218.44, 11,363.06 and 7,851.24 is: 10,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.44 : 11,363.06 = 7,851.24 : x
  2. Step 2: Convert to fraction form
    8,218.44/11,363.06 = 7,851.24/x
  3. Step 3: Cross multiply
    8,218.44x = 11,363.06 × 7,851.24
  4. Step 4: Simplify right side
    8,218.44x = 89,214,111.19
  5. Step 5: Solve for x
    x = 89,214,111.19/8,218.44
  6. Step 6: Final answer
    x = 10,855.36

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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.