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Finding the Fourth Proportional to 6,927.75, 10,396.19 and 3,032.16

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Solution

The fourth proportional to 6,927.75, 10,396.19 and 3,032.16 is: 4,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.75 : 10,396.19 = 3,032.16 : x
  2. Step 2: Convert to fraction form
    6,927.75/10,396.19 = 3,032.16/x
  3. Step 3: Cross multiply
    6,927.75x = 10,396.19 × 3,032.16
  4. Step 4: Simplify right side
    6,927.75x = 31,522,896.31
  5. Step 5: Solve for x
    x = 31,522,896.31/6,927.75
  6. Step 6: Final answer
    x = 4,550.24

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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.