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Finding the Fourth Proportional to 11,762.88, 17,643.48 and 2,997.84

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Solution

The fourth proportional to 11,762.88, 17,643.48 and 2,997.84 is: 4,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.88 : 17,643.48 = 2,997.84 : x
  2. Step 2: Convert to fraction form
    11,762.88/17,643.48 = 2,997.84/x
  3. Step 3: Cross multiply
    11,762.88x = 17,643.48 × 2,997.84
  4. Step 4: Simplify right side
    11,762.88x = 52,892,330.08
  5. Step 5: Solve for x
    x = 52,892,330.08/11,762.88
  6. Step 6: Final answer
    x = 4,496.55

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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.