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Finding the Fourth Proportional to 11,762.68, 17,649.41 and 5,101.22

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Solution

The fourth proportional to 11,762.68, 17,649.41 and 5,101.22 is: 7,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.68 : 17,649.41 = 5,101.22 : x
  2. Step 2: Convert to fraction form
    11,762.68/17,649.41 = 5,101.22/x
  3. Step 3: Cross multiply
    11,762.68x = 17,649.41 × 5,101.22
  4. Step 4: Simplify right side
    11,762.68x = 90,033,523.28
  5. Step 5: Solve for x
    x = 90,033,523.28/11,762.68
  6. Step 6: Final answer
    x = 7,654.17

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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.