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Finding the Fourth Proportional to 10,072.96, 13,896.80 and 7,426.64

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Solution

The fourth proportional to 10,072.96, 13,896.80 and 7,426.64 is: 10,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.96 : 13,896.80 = 7,426.64 : x
  2. Step 2: Convert to fraction form
    10,072.96/13,896.80 = 7,426.64/x
  3. Step 3: Cross multiply
    10,072.96x = 13,896.80 × 7,426.64
  4. Step 4: Simplify right side
    10,072.96x = 103,206,530.75
  5. Step 5: Solve for x
    x = 103,206,530.75/10,072.96
  6. Step 6: Final answer
    x = 10,245.90

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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.