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Finding the Fourth Proportional to 8,323.44, 12,414.72 and 7,219.02

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Solution

The fourth proportional to 8,323.44, 12,414.72 and 7,219.02 is: 10,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.44 : 12,414.72 = 7,219.02 : x
  2. Step 2: Convert to fraction form
    8,323.44/12,414.72 = 7,219.02/x
  3. Step 3: Cross multiply
    8,323.44x = 12,414.72 × 7,219.02
  4. Step 4: Simplify right side
    8,323.44x = 89,622,111.97
  5. Step 5: Solve for x
    x = 89,622,111.97/8,323.44
  6. Step 6: Final answer
    x = 10,767.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.