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Finding the Fourth Proportional to 8,029.58, 11,081.40 and 4,492.56

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Solution

The fourth proportional to 8,029.58, 11,081.40 and 4,492.56 is: 6,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.58 : 11,081.40 = 4,492.56 : x
  2. Step 2: Convert to fraction form
    8,029.58/11,081.40 = 4,492.56/x
  3. Step 3: Cross multiply
    8,029.58x = 11,081.40 × 4,492.56
  4. Step 4: Simplify right side
    8,029.58x = 49,783,854.38
  5. Step 5: Solve for x
    x = 49,783,854.38/8,029.58
  6. Step 6: Final answer
    x = 6,200.06

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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.