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Finding the Fourth Proportional to 11,630.16, 17,444.70 and 3,838.50

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Solution

The fourth proportional to 11,630.16, 17,444.70 and 3,838.50 is: 5,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.16 : 17,444.70 = 3,838.50 : x
  2. Step 2: Convert to fraction form
    11,630.16/17,444.70 = 3,838.50/x
  3. Step 3: Cross multiply
    11,630.16x = 17,444.70 × 3,838.50
  4. Step 4: Simplify right side
    11,630.16x = 66,961,480.95
  5. Step 5: Solve for x
    x = 66,961,480.95/11,630.16
  6. Step 6: Final answer
    x = 5,757.57

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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.