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Finding the Fourth Proportional to 7,313.04, 10,971 and 3,804.75

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Solution

The fourth proportional to 7,313.04, 10,971 and 3,804.75 is: 5,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.04 : 10,971 = 3,804.75 : x
  2. Step 2: Convert to fraction form
    7,313.04/10,971 = 3,804.75/x
  3. Step 3: Cross multiply
    7,313.04x = 10,971 × 3,804.75
  4. Step 4: Simplify right side
    7,313.04x = 41,741,912.25
  5. Step 5: Solve for x
    x = 41,741,912.25/7,313.04
  6. Step 6: Final answer
    x = 5,707.87

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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.