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Finding the Fourth Proportional to 7,037.31, 9,711.51 and 3,850.54

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Solution

The fourth proportional to 7,037.31, 9,711.51 and 3,850.54 is: 5,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.31 : 9,711.51 = 3,850.54 : x
  2. Step 2: Convert to fraction form
    7,037.31/9,711.51 = 3,850.54/x
  3. Step 3: Cross multiply
    7,037.31x = 9,711.51 × 3,850.54
  4. Step 4: Simplify right side
    7,037.31x = 37,394,557.72
  5. Step 5: Solve for x
    x = 37,394,557.72/7,037.31
  6. Step 6: Final answer
    x = 5,313.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.