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Finding the Fourth Proportional to 11,607.92, 17,406.14 and 4,211.26

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Solution

The fourth proportional to 11,607.92, 17,406.14 and 4,211.26 is: 6,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.92 : 17,406.14 = 4,211.26 : x
  2. Step 2: Convert to fraction form
    11,607.92/17,406.14 = 4,211.26/x
  3. Step 3: Cross multiply
    11,607.92x = 17,406.14 × 4,211.26
  4. Step 4: Simplify right side
    11,607.92x = 73,301,781.14
  5. Step 5: Solve for x
    x = 73,301,781.14/11,607.92
  6. Step 6: Final answer
    x = 6,314.81

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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.