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Finding the Fourth Proportional to 10,297.49, 15,435.63 and 4,054.97

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Solution

The fourth proportional to 10,297.49, 15,435.63 and 4,054.97 is: 6,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.49 : 15,435.63 = 4,054.97 : x
  2. Step 2: Convert to fraction form
    10,297.49/15,435.63 = 4,054.97/x
  3. Step 3: Cross multiply
    10,297.49x = 15,435.63 × 4,054.97
  4. Step 4: Simplify right side
    10,297.49x = 62,591,016.58
  5. Step 5: Solve for x
    x = 62,591,016.58/10,297.49
  6. Step 6: Final answer
    x = 6,078.28

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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.