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Finding the Fourth Proportional to 8,367.24, 12,548.25 and 3,029.75

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Solution

The fourth proportional to 8,367.24, 12,548.25 and 3,029.75 is: 4,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.24 : 12,548.25 = 3,029.75 : x
  2. Step 2: Convert to fraction form
    8,367.24/12,548.25 = 3,029.75/x
  3. Step 3: Cross multiply
    8,367.24x = 12,548.25 × 3,029.75
  4. Step 4: Simplify right side
    8,367.24x = 38,018,060.44
  5. Step 5: Solve for x
    x = 38,018,060.44/8,367.24
  6. Step 6: Final answer
    x = 4,543.68

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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.