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Finding the Fourth Proportional to 10,431.54, 15,645.84 and 3,856.62

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Solution

The fourth proportional to 10,431.54, 15,645.84 and 3,856.62 is: 5,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.54 : 15,645.84 = 3,856.62 : x
  2. Step 2: Convert to fraction form
    10,431.54/15,645.84 = 3,856.62/x
  3. Step 3: Cross multiply
    10,431.54x = 15,645.84 × 3,856.62
  4. Step 4: Simplify right side
    10,431.54x = 60,340,059.46
  5. Step 5: Solve for x
    x = 60,340,059.46/10,431.54
  6. Step 6: Final answer
    x = 5,784.39

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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.