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Finding the Fourth Proportional to 8,283.44, 12,425.16 and 5,678.48

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Solution

The fourth proportional to 8,283.44, 12,425.16 and 5,678.48 is: 8,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.44 : 12,425.16 = 5,678.48 : x
  2. Step 2: Convert to fraction form
    8,283.44/12,425.16 = 5,678.48/x
  3. Step 3: Cross multiply
    8,283.44x = 12,425.16 × 5,678.48
  4. Step 4: Simplify right side
    8,283.44x = 70,556,022.56
  5. Step 5: Solve for x
    x = 70,556,022.56/8,283.44
  6. Step 6: Final answer
    x = 8,517.72

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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.