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Finding the Fourth Proportional to 11,630.21, 17,451.18 and 5,383.19

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Solution

The fourth proportional to 11,630.21, 17,451.18 and 5,383.19 is: 8,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.21 : 17,451.18 = 5,383.19 : x
  2. Step 2: Convert to fraction form
    11,630.21/17,451.18 = 5,383.19/x
  3. Step 3: Cross multiply
    11,630.21x = 17,451.18 × 5,383.19
  4. Step 4: Simplify right side
    11,630.21x = 93,943,061.29
  5. Step 5: Solve for x
    x = 93,943,061.29/11,630.21
  6. Step 6: Final answer
    x = 8,077.51

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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.