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Finding the Fourth Proportional to 11,676.48, 17,510.88 and 3,883.20

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Solution

The fourth proportional to 11,676.48, 17,510.88 and 3,883.20 is: 5,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.48 : 17,510.88 = 3,883.20 : x
  2. Step 2: Convert to fraction form
    11,676.48/17,510.88 = 3,883.20/x
  3. Step 3: Cross multiply
    11,676.48x = 17,510.88 × 3,883.20
  4. Step 4: Simplify right side
    11,676.48x = 67,998,249.22
  5. Step 5: Solve for x
    x = 67,998,249.22/11,676.48
  6. Step 6: Final answer
    x = 5,823.52

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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.