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Finding the Fourth Proportional to 11,676.90, 17,524.69 and 6,133.51

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Solution

The fourth proportional to 11,676.90, 17,524.69 and 6,133.51 is: 9,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.90 : 17,524.69 = 6,133.51 : x
  2. Step 2: Convert to fraction form
    11,676.90/17,524.69 = 6,133.51/x
  3. Step 3: Cross multiply
    11,676.90x = 17,524.69 × 6,133.51
  4. Step 4: Simplify right side
    11,676.90x = 107,487,830.69
  5. Step 5: Solve for x
    x = 107,487,830.69/11,676.90
  6. Step 6: Final answer
    x = 9,205.17

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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.