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Finding the Fourth Proportional to 10,273.41, 15,400.71 and 3,697.98

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Solution

The fourth proportional to 10,273.41, 15,400.71 and 3,697.98 is: 5,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.41 : 15,400.71 = 3,697.98 : x
  2. Step 2: Convert to fraction form
    10,273.41/15,400.71 = 3,697.98/x
  3. Step 3: Cross multiply
    10,273.41x = 15,400.71 × 3,697.98
  4. Step 4: Simplify right side
    10,273.41x = 56,951,517.57
  5. Step 5: Solve for x
    x = 56,951,517.57/10,273.41
  6. Step 6: Final answer
    x = 5,543.58

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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.