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Finding the Fourth Proportional to 11,606.85, 17,412.87 and 4,211.15

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Solution

The fourth proportional to 11,606.85, 17,412.87 and 4,211.15 is: 6,317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.85 : 17,412.87 = 4,211.15 : x
  2. Step 2: Convert to fraction form
    11,606.85/17,412.87 = 4,211.15/x
  3. Step 3: Cross multiply
    11,606.85x = 17,412.87 × 4,211.15
  4. Step 4: Simplify right side
    11,606.85x = 73,328,207.50
  5. Step 5: Solve for x
    x = 73,328,207.50/11,606.85
  6. Step 6: Final answer
    x = 6,317.67

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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.