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Finding the Fourth Proportional to 11,725.82, 16,182.14 and 7,246.11

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Solution

The fourth proportional to 11,725.82, 16,182.14 and 7,246.11 is: 9,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.82 : 16,182.14 = 7,246.11 : x
  2. Step 2: Convert to fraction form
    11,725.82/16,182.14 = 7,246.11/x
  3. Step 3: Cross multiply
    11,725.82x = 16,182.14 × 7,246.11
  4. Step 4: Simplify right side
    11,725.82x = 117,257,530.24
  5. Step 5: Solve for x
    x = 117,257,530.24/11,725.82
  6. Step 6: Final answer
    x = 9,999.95

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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.