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Finding the Fourth Proportional to 8,009.44, 12,010.24 and 2,814.56

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Solution

The fourth proportional to 8,009.44, 12,010.24 and 2,814.56 is: 4,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.44 : 12,010.24 = 2,814.56 : x
  2. Step 2: Convert to fraction form
    8,009.44/12,010.24 = 2,814.56/x
  3. Step 3: Cross multiply
    8,009.44x = 12,010.24 × 2,814.56
  4. Step 4: Simplify right side
    8,009.44x = 33,803,541.09
  5. Step 5: Solve for x
    x = 33,803,541.09/8,009.44
  6. Step 6: Final answer
    x = 4,220.46

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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.