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Finding the Fourth Proportional to 11,450.64, 17,164.62 and 6,447.18

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Solution

The fourth proportional to 11,450.64, 17,164.62 and 6,447.18 is: 9,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.64 : 17,164.62 = 6,447.18 : x
  2. Step 2: Convert to fraction form
    11,450.64/17,164.62 = 6,447.18/x
  3. Step 3: Cross multiply
    11,450.64x = 17,164.62 × 6,447.18
  4. Step 4: Simplify right side
    11,450.64x = 110,663,394.77
  5. Step 5: Solve for x
    x = 110,663,394.77/11,450.64
  6. Step 6: Final answer
    x = 9,664.39

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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.