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Finding the Fourth Proportional to 6,866.31, 10,297.44 and 3,577.71

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Solution

The fourth proportional to 6,866.31, 10,297.44 and 3,577.71 is: 5,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.31 : 10,297.44 = 3,577.71 : x
  2. Step 2: Convert to fraction form
    6,866.31/10,297.44 = 3,577.71/x
  3. Step 3: Cross multiply
    6,866.31x = 10,297.44 × 3,577.71
  4. Step 4: Simplify right side
    6,866.31x = 36,841,254.06
  5. Step 5: Solve for x
    x = 36,841,254.06/6,866.31
  6. Step 6: Final answer
    x = 5,365.51

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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.