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Finding the Fourth Proportional to 6,718.49, 10,077.39 and 2,038.31

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Solution

The fourth proportional to 6,718.49, 10,077.39 and 2,038.31 is: 3,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.49 : 10,077.39 = 2,038.31 : x
  2. Step 2: Convert to fraction form
    6,718.49/10,077.39 = 2,038.31/x
  3. Step 3: Cross multiply
    6,718.49x = 10,077.39 × 2,038.31
  4. Step 4: Simplify right side
    6,718.49x = 20,540,844.81
  5. Step 5: Solve for x
    x = 20,540,844.81/6,718.49
  6. Step 6: Final answer
    x = 3,057.36

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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.