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Finding the Fourth Proportional to 10,418.54, 15,627.61 and 3,022.70

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Solution

The fourth proportional to 10,418.54, 15,627.61 and 3,022.70 is: 4,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.54 : 15,627.61 = 3,022.70 : x
  2. Step 2: Convert to fraction form
    10,418.54/15,627.61 = 3,022.70/x
  3. Step 3: Cross multiply
    10,418.54x = 15,627.61 × 3,022.70
  4. Step 4: Simplify right side
    10,418.54x = 47,237,576.75
  5. Step 5: Solve for x
    x = 47,237,576.75/10,418.54
  6. Step 6: Final answer
    x = 4,533.99

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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.