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Finding the Fourth Proportional to 11,609.50, 17,417.14 and 3,401.50

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Solution

The fourth proportional to 11,609.50, 17,417.14 and 3,401.50 is: 5,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.50 : 17,417.14 = 3,401.50 : x
  2. Step 2: Convert to fraction form
    11,609.50/17,417.14 = 3,401.50/x
  3. Step 3: Cross multiply
    11,609.50x = 17,417.14 × 3,401.50
  4. Step 4: Simplify right side
    11,609.50x = 59,244,401.71
  5. Step 5: Solve for x
    x = 59,244,401.71/11,609.50
  6. Step 6: Final answer
    x = 5,103.10

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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.