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Finding the Fourth Proportional to 11,406.06, 17,109 and 3,614.68

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Solution

The fourth proportional to 11,406.06, 17,109 and 3,614.68 is: 5,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.06 : 17,109 = 3,614.68 : x
  2. Step 2: Convert to fraction form
    11,406.06/17,109 = 3,614.68/x
  3. Step 3: Cross multiply
    11,406.06x = 17,109 × 3,614.68
  4. Step 4: Simplify right side
    11,406.06x = 61,843,560.12
  5. Step 5: Solve for x
    x = 61,843,560.12/11,406.06
  6. Step 6: Final answer
    x = 5,421.99

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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.