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Finding the Fourth Proportional to 10,820.64, 16,231.32 and 3,029.28

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Solution

The fourth proportional to 10,820.64, 16,231.32 and 3,029.28 is: 4,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.64 : 16,231.32 = 3,029.28 : x
  2. Step 2: Convert to fraction form
    10,820.64/16,231.32 = 3,029.28/x
  3. Step 3: Cross multiply
    10,820.64x = 16,231.32 × 3,029.28
  4. Step 4: Simplify right side
    10,820.64x = 49,169,213.05
  5. Step 5: Solve for x
    x = 49,169,213.05/10,820.64
  6. Step 6: Final answer
    x = 4,544.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.