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Finding the Fourth Proportional to 7,827.16, 11,735.27 and 2,896.16

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Solution

The fourth proportional to 7,827.16, 11,735.27 and 2,896.16 is: 4,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.16 : 11,735.27 = 2,896.16 : x
  2. Step 2: Convert to fraction form
    7,827.16/11,735.27 = 2,896.16/x
  3. Step 3: Cross multiply
    7,827.16x = 11,735.27 × 2,896.16
  4. Step 4: Simplify right side
    7,827.16x = 33,987,190.23
  5. Step 5: Solve for x
    x = 33,987,190.23/7,827.16
  6. Step 6: Final answer
    x = 4,342.21

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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.