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Finding the Fourth Proportional to 11,762.66, 17,643.96 and 2,997.56

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Solution

The fourth proportional to 11,762.66, 17,643.96 and 2,997.56 is: 4,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.66 : 17,643.96 = 2,997.56 : x
  2. Step 2: Convert to fraction form
    11,762.66/17,643.96 = 2,997.56/x
  3. Step 3: Cross multiply
    11,762.66x = 17,643.96 × 2,997.56
  4. Step 4: Simplify right side
    11,762.66x = 52,888,828.74
  5. Step 5: Solve for x
    x = 52,888,828.74/11,762.66
  6. Step 6: Final answer
    x = 4,496.33

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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.