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Finding the Fourth Proportional to 7,833.24, 11,748.02 and 3,676.12

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Solution

The fourth proportional to 7,833.24, 11,748.02 and 3,676.12 is: 5,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.24 : 11,748.02 = 3,676.12 : x
  2. Step 2: Convert to fraction form
    7,833.24/11,748.02 = 3,676.12/x
  3. Step 3: Cross multiply
    7,833.24x = 11,748.02 × 3,676.12
  4. Step 4: Simplify right side
    7,833.24x = 43,187,083.53
  5. Step 5: Solve for x
    x = 43,187,083.53/7,833.24
  6. Step 6: Final answer
    x = 5,513.31

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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.