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Finding the Fourth Proportional to 8,029.60, 11,096.40 and 8,029.60

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Solution

The fourth proportional to 8,029.60, 11,096.40 and 8,029.60 is: 11,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.60 : 11,096.40 = 8,029.60 : x
  2. Step 2: Convert to fraction form
    8,029.60/11,096.40 = 8,029.60/x
  3. Step 3: Cross multiply
    8,029.60x = 11,096.40 × 8,029.60
  4. Step 4: Simplify right side
    8,029.60x = 89,099,653.44
  5. Step 5: Solve for x
    x = 89,099,653.44/8,029.60
  6. Step 6: Final answer
    x = 11,096.40

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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.