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Finding the Fourth Proportional to 11,486.14, 17,206.90 and 6,730.76

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Solution

The fourth proportional to 11,486.14, 17,206.90 and 6,730.76 is: 10,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.14 : 17,206.90 = 6,730.76 : x
  2. Step 2: Convert to fraction form
    11,486.14/17,206.90 = 6,730.76/x
  3. Step 3: Cross multiply
    11,486.14x = 17,206.90 × 6,730.76
  4. Step 4: Simplify right side
    11,486.14x = 115,815,540.43
  5. Step 5: Solve for x
    x = 115,815,540.43/11,486.14
  6. Step 6: Final answer
    x = 10,083.07

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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.