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Finding the Fourth Proportional to 8,028.34, 11,079.84 and 4,492.69

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Solution

The fourth proportional to 8,028.34, 11,079.84 and 4,492.69 is: 6,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.34 : 11,079.84 = 4,492.69 : x
  2. Step 2: Convert to fraction form
    8,028.34/11,079.84 = 4,492.69/x
  3. Step 3: Cross multiply
    8,028.34x = 11,079.84 × 4,492.69
  4. Step 4: Simplify right side
    8,028.34x = 49,778,286.37
  5. Step 5: Solve for x
    x = 49,778,286.37/8,028.34
  6. Step 6: Final answer
    x = 6,200.32

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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.