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Finding the Fourth Proportional to 11,605.96, 17,404.38 and 4,209.16

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Solution

The fourth proportional to 11,605.96, 17,404.38 and 4,209.16 is: 6,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.96 : 17,404.38 = 4,209.16 : x
  2. Step 2: Convert to fraction form
    11,605.96/17,404.38 = 4,209.16/x
  3. Step 3: Cross multiply
    11,605.96x = 17,404.38 × 4,209.16
  4. Step 4: Simplify right side
    11,605.96x = 73,257,820.12
  5. Step 5: Solve for x
    x = 73,257,820.12/11,605.96
  6. Step 6: Final answer
    x = 6,312.09

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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.