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Finding the Fourth Proportional to 7,840.96, 11,738.36 and 6,868.96

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Solution

The fourth proportional to 7,840.96, 11,738.36 and 6,868.96 is: 10,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.96 : 11,738.36 = 6,868.96 : x
  2. Step 2: Convert to fraction form
    7,840.96/11,738.36 = 6,868.96/x
  3. Step 3: Cross multiply
    7,840.96x = 11,738.36 × 6,868.96
  4. Step 4: Simplify right side
    7,840.96x = 80,630,325.31
  5. Step 5: Solve for x
    x = 80,630,325.31/7,840.96
  6. Step 6: Final answer
    x = 10,283.22

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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.