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Finding the Fourth Proportional to 10,852.56, 16,278.84 and 3,927.12

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Solution

The fourth proportional to 10,852.56, 16,278.84 and 3,927.12 is: 5,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.56 : 16,278.84 = 3,927.12 : x
  2. Step 2: Convert to fraction form
    10,852.56/16,278.84 = 3,927.12/x
  3. Step 3: Cross multiply
    10,852.56x = 16,278.84 × 3,927.12
  4. Step 4: Simplify right side
    10,852.56x = 63,928,958.14
  5. Step 5: Solve for x
    x = 63,928,958.14/10,852.56
  6. Step 6: Final answer
    x = 5,890.68

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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.