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Finding the Fourth Proportional to 8,234.16, 11,368.44 and 7,348.44

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Solution

The fourth proportional to 8,234.16, 11,368.44 and 7,348.44 is: 10,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.16 : 11,368.44 = 7,348.44 : x
  2. Step 2: Convert to fraction form
    8,234.16/11,368.44 = 7,348.44/x
  3. Step 3: Cross multiply
    8,234.16x = 11,368.44 × 7,348.44
  4. Step 4: Simplify right side
    8,234.16x = 83,540,299.23
  5. Step 5: Solve for x
    x = 83,540,299.23/8,234.16
  6. Step 6: Final answer
    x = 10,145.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.