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Finding the Fourth Proportional to 10,820.78, 16,233.03 and 3,425.12

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Solution

The fourth proportional to 10,820.78, 16,233.03 and 3,425.12 is: 5,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.78 : 16,233.03 = 3,425.12 : x
  2. Step 2: Convert to fraction form
    10,820.78/16,233.03 = 3,425.12/x
  3. Step 3: Cross multiply
    10,820.78x = 16,233.03 × 3,425.12
  4. Step 4: Simplify right side
    10,820.78x = 55,600,075.71
  5. Step 5: Solve for x
    x = 55,600,075.71/10,820.78
  6. Step 6: Final answer
    x = 5,138.27

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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.