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Finding the Fourth Proportional to 11,609.20, 17,412.16 and 3,817

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Solution

The fourth proportional to 11,609.20, 17,412.16 and 3,817 is: 5,724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.20 : 17,412.16 = 3,817 : x
  2. Step 2: Convert to fraction form
    11,609.20/17,412.16 = 3,817/x
  3. Step 3: Cross multiply
    11,609.20x = 17,412.16 × 3,817
  4. Step 4: Simplify right side
    11,609.20x = 66,462,214.72
  5. Step 5: Solve for x
    x = 66,462,214.72/11,609.20
  6. Step 6: Final answer
    x = 5,724.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.