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Finding the Fourth Proportional to 6,932.65, 10,396.23 and 2,984.20

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Solution

The fourth proportional to 6,932.65, 10,396.23 and 2,984.20 is: 4,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.65 : 10,396.23 = 2,984.20 : x
  2. Step 2: Convert to fraction form
    6,932.65/10,396.23 = 2,984.20/x
  3. Step 3: Cross multiply
    6,932.65x = 10,396.23 × 2,984.20
  4. Step 4: Simplify right side
    6,932.65x = 31,024,453.75
  5. Step 5: Solve for x
    x = 31,024,453.75/6,932.65
  6. Step 6: Final answer
    x = 4,475.12

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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.