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Finding the Fourth Proportional to 10,273.80, 14,174.04 and 7,591.48

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Solution

The fourth proportional to 10,273.80, 14,174.04 and 7,591.48 is: 10,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.80 : 14,174.04 = 7,591.48 : x
  2. Step 2: Convert to fraction form
    10,273.80/14,174.04 = 7,591.48/x
  3. Step 3: Cross multiply
    10,273.80x = 14,174.04 × 7,591.48
  4. Step 4: Simplify right side
    10,273.80x = 107,601,971.24
  5. Step 5: Solve for x
    x = 107,601,971.24/10,273.80
  6. Step 6: Final answer
    x = 10,473.44

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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.