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Finding the Fourth Proportional to 7,313.68, 10,977 and 3,806.18

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Solution

The fourth proportional to 7,313.68, 10,977 and 3,806.18 is: 5,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.68 : 10,977 = 3,806.18 : x
  2. Step 2: Convert to fraction form
    7,313.68/10,977 = 3,806.18/x
  3. Step 3: Cross multiply
    7,313.68x = 10,977 × 3,806.18
  4. Step 4: Simplify right side
    7,313.68x = 41,780,437.86
  5. Step 5: Solve for x
    x = 41,780,437.86/7,313.68
  6. Step 6: Final answer
    x = 5,712.64

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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.