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Finding the Fourth Proportional to 12,111, 18,173.79 and 5,185.50

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Solution

The fourth proportional to 12,111, 18,173.79 and 5,185.50 is: 7,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111 : 18,173.79 = 5,185.50 : x
  2. Step 2: Convert to fraction form
    12,111/18,173.79 = 5,185.50/x
  3. Step 3: Cross multiply
    12,111x = 18,173.79 × 5,185.50
  4. Step 4: Simplify right side
    12,111x = 94,240,188.05
  5. Step 5: Solve for x
    x = 94,240,188.05/12,111
  6. Step 6: Final answer
    x = 7,781.37

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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.