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Finding the Fourth Proportional to 10,820.64, 16,231.92 and 3,029.52

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Solution

The fourth proportional to 10,820.64, 16,231.92 and 3,029.52 is: 4,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.64 : 16,231.92 = 3,029.52 : x
  2. Step 2: Convert to fraction form
    10,820.64/16,231.92 = 3,029.52/x
  3. Step 3: Cross multiply
    10,820.64x = 16,231.92 × 3,029.52
  4. Step 4: Simplify right side
    10,820.64x = 49,174,926.28
  5. Step 5: Solve for x
    x = 49,174,926.28/10,820.64
  6. Step 6: Final answer
    x = 4,544.55

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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.