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Finding the Fourth Proportional to 10,973.82, 15,143.78 and 5,938.04

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Solution

The fourth proportional to 10,973.82, 15,143.78 and 5,938.04 is: 8,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.82 : 15,143.78 = 5,938.04 : x
  2. Step 2: Convert to fraction form
    10,973.82/15,143.78 = 5,938.04/x
  3. Step 3: Cross multiply
    10,973.82x = 15,143.78 × 5,938.04
  4. Step 4: Simplify right side
    10,973.82x = 89,924,371.39
  5. Step 5: Solve for x
    x = 89,924,371.39/10,973.82
  6. Step 6: Final answer
    x = 8,194.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.