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Finding the Fourth Proportional to 11,617.80, 17,433 and 5,043.96

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Solution

The fourth proportional to 11,617.80, 17,433 and 5,043.96 is: 7,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.80 : 17,433 = 5,043.96 : x
  2. Step 2: Convert to fraction form
    11,617.80/17,433 = 5,043.96/x
  3. Step 3: Cross multiply
    11,617.80x = 17,433 × 5,043.96
  4. Step 4: Simplify right side
    11,617.80x = 87,931,354.68
  5. Step 5: Solve for x
    x = 87,931,354.68/11,617.80
  6. Step 6: Final answer
    x = 7,568.68

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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.