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Finding the Fourth Proportional to 11,682.12, 17,510.88 and 5,826.44

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Solution

The fourth proportional to 11,682.12, 17,510.88 and 5,826.44 is: 8,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.12 : 17,510.88 = 5,826.44 : x
  2. Step 2: Convert to fraction form
    11,682.12/17,510.88 = 5,826.44/x
  3. Step 3: Cross multiply
    11,682.12x = 17,510.88 × 5,826.44
  4. Step 4: Simplify right side
    11,682.12x = 102,026,004.11
  5. Step 5: Solve for x
    x = 102,026,004.11/11,682.12
  6. Step 6: Final answer
    x = 8,733.52

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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.