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Finding the Fourth Proportional to 11,724, 16,179.12 and 6,418.86

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Solution

The fourth proportional to 11,724, 16,179.12 and 6,418.86 is: 8,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724 : 16,179.12 = 6,418.86 : x
  2. Step 2: Convert to fraction form
    11,724/16,179.12 = 6,418.86/x
  3. Step 3: Cross multiply
    11,724x = 16,179.12 × 6,418.86
  4. Step 4: Simplify right side
    11,724x = 103,851,506.20
  5. Step 5: Solve for x
    x = 103,851,506.20/11,724
  6. Step 6: Final answer
    x = 8,858.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.