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Finding the Fourth Proportional to 11,751.58, 17,627.43 and 2,986.50

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Solution

The fourth proportional to 11,751.58, 17,627.43 and 2,986.50 is: 4,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.58 : 17,627.43 = 2,986.50 : x
  2. Step 2: Convert to fraction form
    11,751.58/17,627.43 = 2,986.50/x
  3. Step 3: Cross multiply
    11,751.58x = 17,627.43 × 2,986.50
  4. Step 4: Simplify right side
    11,751.58x = 52,644,319.70
  5. Step 5: Solve for x
    x = 52,644,319.70/11,751.58
  6. Step 6: Final answer
    x = 4,479.77

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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.