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Finding the Fourth Proportional to 11,433.84, 17,142.12 and 3,638.16

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Solution

The fourth proportional to 11,433.84, 17,142.12 and 3,638.16 is: 5,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.84 : 17,142.12 = 3,638.16 : x
  2. Step 2: Convert to fraction form
    11,433.84/17,142.12 = 3,638.16/x
  3. Step 3: Cross multiply
    11,433.84x = 17,142.12 × 3,638.16
  4. Step 4: Simplify right side
    11,433.84x = 62,365,775.30
  5. Step 5: Solve for x
    x = 62,365,775.30/11,433.84
  6. Step 6: Final answer
    x = 5,454.49

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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.