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Finding the Fourth Proportional to 10,205.78, 15,308.12 and 3,280.28

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Solution

The fourth proportional to 10,205.78, 15,308.12 and 3,280.28 is: 4,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.78 : 15,308.12 = 3,280.28 : x
  2. Step 2: Convert to fraction form
    10,205.78/15,308.12 = 3,280.28/x
  3. Step 3: Cross multiply
    10,205.78x = 15,308.12 × 3,280.28
  4. Step 4: Simplify right side
    10,205.78x = 50,214,919.87
  5. Step 5: Solve for x
    x = 50,214,919.87/10,205.78
  6. Step 6: Final answer
    x = 4,920.24

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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.