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Finding the Fourth Proportional to 11,609.15, 17,411.70 and 4,209.80

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Solution

The fourth proportional to 11,609.15, 17,411.70 and 4,209.80 is: 6,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.15 : 17,411.70 = 4,209.80 : x
  2. Step 2: Convert to fraction form
    11,609.15/17,411.70 = 4,209.80/x
  3. Step 3: Cross multiply
    11,609.15x = 17,411.70 × 4,209.80
  4. Step 4: Simplify right side
    11,609.15x = 73,299,774.66
  5. Step 5: Solve for x
    x = 73,299,774.66/11,609.15
  6. Step 6: Final answer
    x = 6,313.97

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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.