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Finding the Fourth Proportional to 8,235.16, 11,369.82 and 7,349.44

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Solution

The fourth proportional to 8,235.16, 11,369.82 and 7,349.44 is: 10,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.16 : 11,369.82 = 7,349.44 : x
  2. Step 2: Convert to fraction form
    8,235.16/11,369.82 = 7,349.44/x
  3. Step 3: Cross multiply
    8,235.16x = 11,369.82 × 7,349.44
  4. Step 4: Simplify right side
    8,235.16x = 83,561,809.90
  5. Step 5: Solve for x
    x = 83,561,809.90/8,235.16
  6. Step 6: Final answer
    x = 10,146.96

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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.