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Finding the Fourth Proportional to 10,896.40, 16,346.80 and 4,322.82

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Solution

The fourth proportional to 10,896.40, 16,346.80 and 4,322.82 is: 6,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.40 : 16,346.80 = 4,322.82 : x
  2. Step 2: Convert to fraction form
    10,896.40/16,346.80 = 4,322.82/x
  3. Step 3: Cross multiply
    10,896.40x = 16,346.80 × 4,322.82
  4. Step 4: Simplify right side
    10,896.40x = 70,664,273.98
  5. Step 5: Solve for x
    x = 70,664,273.98/10,896.40
  6. Step 6: Final answer
    x = 6,485.10

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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.