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Finding the Fourth Proportional to 7,905.42, 11,796.75 and 6,855.66

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Solution

The fourth proportional to 7,905.42, 11,796.75 and 6,855.66 is: 10,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.42 : 11,796.75 = 6,855.66 : x
  2. Step 2: Convert to fraction form
    7,905.42/11,796.75 = 6,855.66/x
  3. Step 3: Cross multiply
    7,905.42x = 11,796.75 × 6,855.66
  4. Step 4: Simplify right side
    7,905.42x = 80,874,507.11
  5. Step 5: Solve for x
    x = 80,874,507.11/7,905.42
  6. Step 6: Final answer
    x = 10,230.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.