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Finding the Fourth Proportional to 8,350, 11,523.36 and 4,624

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Solution

The fourth proportional to 8,350, 11,523.36 and 4,624 is: 6,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350 : 11,523.36 = 4,624 : x
  2. Step 2: Convert to fraction form
    8,350/11,523.36 = 4,624/x
  3. Step 3: Cross multiply
    8,350x = 11,523.36 × 4,624
  4. Step 4: Simplify right side
    8,350x = 53,284,016.64
  5. Step 5: Solve for x
    x = 53,284,016.64/8,350
  6. Step 6: Final answer
    x = 6,381.32

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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.