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Finding the Fourth Proportional to 11,765.75, 17,648.51 and 2,881.13

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Solution

The fourth proportional to 11,765.75, 17,648.51 and 2,881.13 is: 4,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.75 : 17,648.51 = 2,881.13 : x
  2. Step 2: Convert to fraction form
    11,765.75/17,648.51 = 2,881.13/x
  3. Step 3: Cross multiply
    11,765.75x = 17,648.51 × 2,881.13
  4. Step 4: Simplify right side
    11,765.75x = 50,847,570.58
  5. Step 5: Solve for x
    x = 50,847,570.58/11,765.75
  6. Step 6: Final answer
    x = 4,321.66

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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.