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Finding the Fourth Proportional to 11,406.06, 17,109 and 6,758.28

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Solution

The fourth proportional to 11,406.06, 17,109 and 6,758.28 is: 10,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.06 : 17,109 = 6,758.28 : x
  2. Step 2: Convert to fraction form
    11,406.06/17,109 = 6,758.28/x
  3. Step 3: Cross multiply
    11,406.06x = 17,109 × 6,758.28
  4. Step 4: Simplify right side
    11,406.06x = 115,627,412.52
  5. Step 5: Solve for x
    x = 115,627,412.52/11,406.06
  6. Step 6: Final answer
    x = 10,137.37

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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.