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Finding the Fourth Proportional to 10,383.39, 14,324.72 and 7,241.40

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Solution

The fourth proportional to 10,383.39, 14,324.72 and 7,241.40 is: 9,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.39 : 14,324.72 = 7,241.40 : x
  2. Step 2: Convert to fraction form
    10,383.39/14,324.72 = 7,241.40/x
  3. Step 3: Cross multiply
    10,383.39x = 14,324.72 × 7,241.40
  4. Step 4: Simplify right side
    10,383.39x = 103,730,991.20
  5. Step 5: Solve for x
    x = 103,730,991.20/10,383.39
  6. Step 6: Final answer
    x = 9,990.09

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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.