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Finding the Fourth Proportional to 8,338.44, 11,534.22 and 7,848.84

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Solution

The fourth proportional to 8,338.44, 11,534.22 and 7,848.84 is: 10,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.44 : 11,534.22 = 7,848.84 : x
  2. Step 2: Convert to fraction form
    8,338.44/11,534.22 = 7,848.84/x
  3. Step 3: Cross multiply
    8,338.44x = 11,534.22 × 7,848.84
  4. Step 4: Simplify right side
    8,338.44x = 90,530,247.30
  5. Step 5: Solve for x
    x = 90,530,247.30/8,338.44
  6. Step 6: Final answer
    x = 10,856.98

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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.