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Finding the Fourth Proportional to 8,223.82, 12,339.78 and 5,102.98

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Solution

The fourth proportional to 8,223.82, 12,339.78 and 5,102.98 is: 7,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.82 : 12,339.78 = 5,102.98 : x
  2. Step 2: Convert to fraction form
    8,223.82/12,339.78 = 5,102.98/x
  3. Step 3: Cross multiply
    8,223.82x = 12,339.78 × 5,102.98
  4. Step 4: Simplify right side
    8,223.82x = 62,969,650.54
  5. Step 5: Solve for x
    x = 62,969,650.54/8,223.82
  6. Step 6: Final answer
    x = 7,656.98

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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.