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Finding the Fourth Proportional to 11,611.50, 17,420.13 and 3,403.50

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Solution

The fourth proportional to 11,611.50, 17,420.13 and 3,403.50 is: 5,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.50 : 17,420.13 = 3,403.50 : x
  2. Step 2: Convert to fraction form
    11,611.50/17,420.13 = 3,403.50/x
  3. Step 3: Cross multiply
    11,611.50x = 17,420.13 × 3,403.50
  4. Step 4: Simplify right side
    11,611.50x = 59,289,412.46
  5. Step 5: Solve for x
    x = 59,289,412.46/11,611.50
  6. Step 6: Final answer
    x = 5,106.09

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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.