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Finding the Fourth Proportional to 11,096.49, 16,644.75 and 6,476.25

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Solution

The fourth proportional to 11,096.49, 16,644.75 and 6,476.25 is: 9,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.49 : 16,644.75 = 6,476.25 : x
  2. Step 2: Convert to fraction form
    11,096.49/16,644.75 = 6,476.25/x
  3. Step 3: Cross multiply
    11,096.49x = 16,644.75 × 6,476.25
  4. Step 4: Simplify right side
    11,096.49x = 107,795,562.19
  5. Step 5: Solve for x
    x = 107,795,562.19/11,096.49
  6. Step 6: Final answer
    x = 9,714.38

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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.