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Finding the Fourth Proportional to 10,394.77, 15,591.65 and 3,820.54

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Solution

The fourth proportional to 10,394.77, 15,591.65 and 3,820.54 is: 5,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.77 : 15,591.65 = 3,820.54 : x
  2. Step 2: Convert to fraction form
    10,394.77/15,591.65 = 3,820.54/x
  3. Step 3: Cross multiply
    10,394.77x = 15,591.65 × 3,820.54
  4. Step 4: Simplify right side
    10,394.77x = 59,568,464.41
  5. Step 5: Solve for x
    x = 59,568,464.41/10,394.77
  6. Step 6: Final answer
    x = 5,730.62

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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.