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Finding the Fourth Proportional to 11,732, 17,605.68 and 4,436

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Solution

The fourth proportional to 11,732, 17,605.68 and 4,436 is: 6,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732 : 17,605.68 = 4,436 : x
  2. Step 2: Convert to fraction form
    11,732/17,605.68 = 4,436/x
  3. Step 3: Cross multiply
    11,732x = 17,605.68 × 4,436
  4. Step 4: Simplify right side
    11,732x = 78,098,796.48
  5. Step 5: Solve for x
    x = 78,098,796.48/11,732
  6. Step 6: Final answer
    x = 6,656.90

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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.