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Finding the Fourth Proportional to 11,911.56, 17,862.78 and 4,118.28

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Solution

The fourth proportional to 11,911.56, 17,862.78 and 4,118.28 is: 6,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.56 : 17,862.78 = 4,118.28 : x
  2. Step 2: Convert to fraction form
    11,911.56/17,862.78 = 4,118.28/x
  3. Step 3: Cross multiply
    11,911.56x = 17,862.78 × 4,118.28
  4. Step 4: Simplify right side
    11,911.56x = 73,563,929.62
  5. Step 5: Solve for x
    x = 73,563,929.62/11,911.56
  6. Step 6: Final answer
    x = 6,175.84

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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.