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Finding the Fourth Proportional to 7,037.56, 9,711.46 and 3,850.24

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Solution

The fourth proportional to 7,037.56, 9,711.46 and 3,850.24 is: 5,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.56 : 9,711.46 = 3,850.24 : x
  2. Step 2: Convert to fraction form
    7,037.56/9,711.46 = 3,850.24/x
  3. Step 3: Cross multiply
    7,037.56x = 9,711.46 × 3,850.24
  4. Step 4: Simplify right side
    7,037.56x = 37,391,451.75
  5. Step 5: Solve for x
    x = 37,391,451.75/7,037.56
  6. Step 6: Final answer
    x = 5,313.13

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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.