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Finding the Fourth Proportional to 11,608.50, 17,415.64 and 3,400.50

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Solution

The fourth proportional to 11,608.50, 17,415.64 and 3,400.50 is: 5,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.50 : 17,415.64 = 3,400.50 : x
  2. Step 2: Convert to fraction form
    11,608.50/17,415.64 = 3,400.50/x
  3. Step 3: Cross multiply
    11,608.50x = 17,415.64 × 3,400.50
  4. Step 4: Simplify right side
    11,608.50x = 59,221,883.82
  5. Step 5: Solve for x
    x = 59,221,883.82/11,608.50
  6. Step 6: Final answer
    x = 5,101.60

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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.