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Finding the Fourth Proportional to 7,037.53, 9,711.68 and 3,850.74

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Solution

The fourth proportional to 7,037.53, 9,711.68 and 3,850.74 is: 5,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.53 : 9,711.68 = 3,850.74 : x
  2. Step 2: Convert to fraction form
    7,037.53/9,711.68 = 3,850.74/x
  3. Step 3: Cross multiply
    7,037.53x = 9,711.68 × 3,850.74
  4. Step 4: Simplify right side
    7,037.53x = 37,397,135.39
  5. Step 5: Solve for x
    x = 37,397,135.39/7,037.53
  6. Step 6: Final answer
    x = 5,313.96

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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.