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Finding the Fourth Proportional to 11,334.84, 16,996.41 and 5,089.50

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Solution

The fourth proportional to 11,334.84, 16,996.41 and 5,089.50 is: 7,631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.84 : 16,996.41 = 5,089.50 : x
  2. Step 2: Convert to fraction form
    11,334.84/16,996.41 = 5,089.50/x
  3. Step 3: Cross multiply
    11,334.84x = 16,996.41 × 5,089.50
  4. Step 4: Simplify right side
    11,334.84x = 86,503,228.70
  5. Step 5: Solve for x
    x = 86,503,228.70/11,334.84
  6. Step 6: Final answer
    x = 7,631.62

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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.