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Finding the Fourth Proportional to 10,422.12, 15,629.94 and 3,495

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Solution

The fourth proportional to 10,422.12, 15,629.94 and 3,495 is: 5,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.12 : 15,629.94 = 3,495 : x
  2. Step 2: Convert to fraction form
    10,422.12/15,629.94 = 3,495/x
  3. Step 3: Cross multiply
    10,422.12x = 15,629.94 × 3,495
  4. Step 4: Simplify right side
    10,422.12x = 54,626,640.30
  5. Step 5: Solve for x
    x = 54,626,640.30/10,422.12
  6. Step 6: Final answer
    x = 5,241.41

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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.