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Finding the Fourth Proportional to 8,028.64, 11,079.54 and 4,492

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Solution

The fourth proportional to 8,028.64, 11,079.54 and 4,492 is: 6,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.64 : 11,079.54 = 4,492 : x
  2. Step 2: Convert to fraction form
    8,028.64/11,079.54 = 4,492/x
  3. Step 3: Cross multiply
    8,028.64x = 11,079.54 × 4,492
  4. Step 4: Simplify right side
    8,028.64x = 49,769,293.68
  5. Step 5: Solve for x
    x = 49,769,293.68/8,028.64
  6. Step 6: Final answer
    x = 6,198.97

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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.