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Finding the Fourth Proportional to 11,761, 17,630.28 and 4,363.48

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Solution

The fourth proportional to 11,761, 17,630.28 and 4,363.48 is: 6,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761 : 17,630.28 = 4,363.48 : x
  2. Step 2: Convert to fraction form
    11,761/17,630.28 = 4,363.48/x
  3. Step 3: Cross multiply
    11,761x = 17,630.28 × 4,363.48
  4. Step 4: Simplify right side
    11,761x = 76,929,374.17
  5. Step 5: Solve for x
    x = 76,929,374.17/11,761
  6. Step 6: Final answer
    x = 6,541.06

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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.