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Finding the Fourth Proportional to 7,597.14, 11,388.78 and 2,664.09

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Solution

The fourth proportional to 7,597.14, 11,388.78 and 2,664.09 is: 3,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.14 : 11,388.78 = 2,664.09 : x
  2. Step 2: Convert to fraction form
    7,597.14/11,388.78 = 2,664.09/x
  3. Step 3: Cross multiply
    7,597.14x = 11,388.78 × 2,664.09
  4. Step 4: Simplify right side
    7,597.14x = 30,340,727.42
  5. Step 5: Solve for x
    x = 30,340,727.42/7,597.14
  6. Step 6: Final answer
    x = 3,993.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.