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Finding the Fourth Proportional to 6,827.58, 10,241.37 and 1,897.22

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Solution

The fourth proportional to 6,827.58, 10,241.37 and 1,897.22 is: 2,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.58 : 10,241.37 = 1,897.22 : x
  2. Step 2: Convert to fraction form
    6,827.58/10,241.37 = 1,897.22/x
  3. Step 3: Cross multiply
    6,827.58x = 10,241.37 × 1,897.22
  4. Step 4: Simplify right side
    6,827.58x = 19,430,157.59
  5. Step 5: Solve for x
    x = 19,430,157.59/6,827.58
  6. Step 6: Final answer
    x = 2,845.83

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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.