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Finding the Fourth Proportional to 11,720.12, 16,173.64 and 6,414.88

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Solution

The fourth proportional to 11,720.12, 16,173.64 and 6,414.88 is: 8,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.12 : 16,173.64 = 6,414.88 : x
  2. Step 2: Convert to fraction form
    11,720.12/16,173.64 = 6,414.88/x
  3. Step 3: Cross multiply
    11,720.12x = 16,173.64 × 6,414.88
  4. Step 4: Simplify right side
    11,720.12x = 103,751,959.76
  5. Step 5: Solve for x
    x = 103,751,959.76/11,720.12
  6. Step 6: Final answer
    x = 8,852.47

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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.