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Finding the Fourth Proportional to 7,109.36, 10,664 and 2,728.16

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Solution

The fourth proportional to 7,109.36, 10,664 and 2,728.16 is: 4,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.36 : 10,664 = 2,728.16 : x
  2. Step 2: Convert to fraction form
    7,109.36/10,664 = 2,728.16/x
  3. Step 3: Cross multiply
    7,109.36x = 10,664 × 2,728.16
  4. Step 4: Simplify right side
    7,109.36x = 29,093,098.24
  5. Step 5: Solve for x
    x = 29,093,098.24/7,109.36
  6. Step 6: Final answer
    x = 4,092.22

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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.