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Finding the Fourth Proportional to 11,907, 17,860.50 and 3,141.99

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Solution

The fourth proportional to 11,907, 17,860.50 and 3,141.99 is: 4,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 17,860.50 = 3,141.99 : x
  2. Step 2: Convert to fraction form
    11,907/17,860.50 = 3,141.99/x
  3. Step 3: Cross multiply
    11,907x = 17,860.50 × 3,141.99
  4. Step 4: Simplify right side
    11,907x = 56,117,512.40
  5. Step 5: Solve for x
    x = 56,117,512.40/11,907
  6. Step 6: Final answer
    x = 4,712.99

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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.