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Finding the Fourth Proportional to 11,762.43, 17,643.53 and 2,997.32

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Solution

The fourth proportional to 11,762.43, 17,643.53 and 2,997.32 is: 4,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.43 : 17,643.53 = 2,997.32 : x
  2. Step 2: Convert to fraction form
    11,762.43/17,643.53 = 2,997.32/x
  3. Step 3: Cross multiply
    11,762.43x = 17,643.53 × 2,997.32
  4. Step 4: Simplify right side
    11,762.43x = 52,883,202.14
  5. Step 5: Solve for x
    x = 52,883,202.14/11,762.43
  6. Step 6: Final answer
    x = 4,495.94

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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.