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Finding the Fourth Proportional to 11,847.12, 17,767.08 and 4,920

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Solution

The fourth proportional to 11,847.12, 17,767.08 and 4,920 is: 7,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.12 : 17,767.08 = 4,920 : x
  2. Step 2: Convert to fraction form
    11,847.12/17,767.08 = 4,920/x
  3. Step 3: Cross multiply
    11,847.12x = 17,767.08 × 4,920
  4. Step 4: Simplify right side
    11,847.12x = 87,414,033.60
  5. Step 5: Solve for x
    x = 87,414,033.60/11,847.12
  6. Step 6: Final answer
    x = 7,378.50

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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.