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Finding the Fourth Proportional to 8,029.60, 11,080.68 and 4,672.20

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Solution

The fourth proportional to 8,029.60, 11,080.68 and 4,672.20 is: 6,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.60 : 11,080.68 = 4,672.20 : x
  2. Step 2: Convert to fraction form
    8,029.60/11,080.68 = 4,672.20/x
  3. Step 3: Cross multiply
    8,029.60x = 11,080.68 × 4,672.20
  4. Step 4: Simplify right side
    8,029.60x = 51,771,153.10
  5. Step 5: Solve for x
    x = 51,771,153.10/8,029.60
  6. Step 6: Final answer
    x = 6,447.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.