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Finding the Fourth Proportional to 11,762.42, 17,642.71 and 2,997.10

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Solution

The fourth proportional to 11,762.42, 17,642.71 and 2,997.10 is: 4,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.42 : 17,642.71 = 2,997.10 : x
  2. Step 2: Convert to fraction form
    11,762.42/17,642.71 = 2,997.10/x
  3. Step 3: Cross multiply
    11,762.42x = 17,642.71 × 2,997.10
  4. Step 4: Simplify right side
    11,762.42x = 52,876,991.94
  5. Step 5: Solve for x
    x = 52,876,991.94/11,762.42
  6. Step 6: Final answer
    x = 4,495.42

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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.