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Finding the Fourth Proportional to 11,720.06, 16,174.07 and 6,414.88

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Solution

The fourth proportional to 11,720.06, 16,174.07 and 6,414.88 is: 8,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.06 : 16,174.07 = 6,414.88 : x
  2. Step 2: Convert to fraction form
    11,720.06/16,174.07 = 6,414.88/x
  3. Step 3: Cross multiply
    11,720.06x = 16,174.07 × 6,414.88
  4. Step 4: Simplify right side
    11,720.06x = 103,754,605.22
  5. Step 5: Solve for x
    x = 103,754,605.22/11,720.06
  6. Step 6: Final answer
    x = 8,852.74

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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.