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Finding the Fourth Proportional to 11,603.82, 17,405.73 and 4,206.60

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Solution

The fourth proportional to 11,603.82, 17,405.73 and 4,206.60 is: 6,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.82 : 17,405.73 = 4,206.60 : x
  2. Step 2: Convert to fraction form
    11,603.82/17,405.73 = 4,206.60/x
  3. Step 3: Cross multiply
    11,603.82x = 17,405.73 × 4,206.60
  4. Step 4: Simplify right side
    11,603.82x = 73,218,943.82
  5. Step 5: Solve for x
    x = 73,218,943.82/11,603.82
  6. Step 6: Final answer
    x = 6,309.90

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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.