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Finding the Fourth Proportional to 6,754.96, 10,137.56 and 4,689.44

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Solution

The fourth proportional to 6,754.96, 10,137.56 and 4,689.44 is: 7,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.96 : 10,137.56 = 4,689.44 : x
  2. Step 2: Convert to fraction form
    6,754.96/10,137.56 = 4,689.44/x
  3. Step 3: Cross multiply
    6,754.96x = 10,137.56 × 4,689.44
  4. Step 4: Simplify right side
    6,754.96x = 47,539,479.37
  5. Step 5: Solve for x
    x = 47,539,479.37/6,754.96
  6. Step 6: Final answer
    x = 7,037.71

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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.