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Finding the Fourth Proportional to 11,644.36, 17,466.72 and 6,483.04

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Solution

The fourth proportional to 11,644.36, 17,466.72 and 6,483.04 is: 9,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.36 : 17,466.72 = 6,483.04 : x
  2. Step 2: Convert to fraction form
    11,644.36/17,466.72 = 6,483.04/x
  3. Step 3: Cross multiply
    11,644.36x = 17,466.72 × 6,483.04
  4. Step 4: Simplify right side
    11,644.36x = 113,237,444.43
  5. Step 5: Solve for x
    x = 113,237,444.43/11,644.36
  6. Step 6: Final answer
    x = 9,724.66

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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.