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Finding the Fourth Proportional to 11,648.68, 16,076.32 and 7,175.04

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Solution

The fourth proportional to 11,648.68, 16,076.32 and 7,175.04 is: 9,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.68 : 16,076.32 = 7,175.04 : x
  2. Step 2: Convert to fraction form
    11,648.68/16,076.32 = 7,175.04/x
  3. Step 3: Cross multiply
    11,648.68x = 16,076.32 × 7,175.04
  4. Step 4: Simplify right side
    11,648.68x = 115,348,239.05
  5. Step 5: Solve for x
    x = 115,348,239.05/11,648.68
  6. Step 6: Final answer
    x = 9,902.26

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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.