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Finding the Fourth Proportional to 11,927.50, 17,891.90 and 3,607.31

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Solution

The fourth proportional to 11,927.50, 17,891.90 and 3,607.31 is: 5,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.50 : 17,891.90 = 3,607.31 : x
  2. Step 2: Convert to fraction form
    11,927.50/17,891.90 = 3,607.31/x
  3. Step 3: Cross multiply
    11,927.50x = 17,891.90 × 3,607.31
  4. Step 4: Simplify right side
    11,927.50x = 64,541,611.75
  5. Step 5: Solve for x
    x = 64,541,611.75/11,927.50
  6. Step 6: Final answer
    x = 5,411.16

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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.