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Finding the Fourth Proportional to 6,757.32, 10,114.38 and 3,977.40

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Solution

The fourth proportional to 6,757.32, 10,114.38 and 3,977.40 is: 5,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.32 : 10,114.38 = 3,977.40 : x
  2. Step 2: Convert to fraction form
    6,757.32/10,114.38 = 3,977.40/x
  3. Step 3: Cross multiply
    6,757.32x = 10,114.38 × 3,977.40
  4. Step 4: Simplify right side
    6,757.32x = 40,228,935.01
  5. Step 5: Solve for x
    x = 40,228,935.01/6,757.32
  6. Step 6: Final answer
    x = 5,953.39

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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.