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Finding the Fourth Proportional to 7,114.36, 10,664.25 and 2,730.64

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Solution

The fourth proportional to 7,114.36, 10,664.25 and 2,730.64 is: 4,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.36 : 10,664.25 = 2,730.64 : x
  2. Step 2: Convert to fraction form
    7,114.36/10,664.25 = 2,730.64/x
  3. Step 3: Cross multiply
    7,114.36x = 10,664.25 × 2,730.64
  4. Step 4: Simplify right side
    7,114.36x = 29,120,227.62
  5. Step 5: Solve for x
    x = 29,120,227.62/7,114.36
  6. Step 6: Final answer
    x = 4,093.16

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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.