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Finding the Fourth Proportional to 11,907.75, 17,860.25 and 3,143.35

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Solution

The fourth proportional to 11,907.75, 17,860.25 and 3,143.35 is: 4,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.75 : 17,860.25 = 3,143.35 : x
  2. Step 2: Convert to fraction form
    11,907.75/17,860.25 = 3,143.35/x
  3. Step 3: Cross multiply
    11,907.75x = 17,860.25 × 3,143.35
  4. Step 4: Simplify right side
    11,907.75x = 56,141,016.84
  5. Step 5: Solve for x
    x = 56,141,016.84/11,907.75
  6. Step 6: Final answer
    x = 4,714.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.