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Finding the Fourth Proportional to 8,048, 12,064.44 and 7,326.56

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Solution

The fourth proportional to 8,048, 12,064.44 and 7,326.56 is: 10,982.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 12,064.44 = 7,326.56 : x
  2. Step 2: Convert to fraction form
    8,048/12,064.44 = 7,326.56/x
  3. Step 3: Cross multiply
    8,048x = 12,064.44 × 7,326.56
  4. Step 4: Simplify right side
    8,048x = 88,390,843.53
  5. Step 5: Solve for x
    x = 88,390,843.53/8,048
  6. Step 6: Final answer
    x = 10,982.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.