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Finding the Fourth Proportional to 10,072.20, 15,100.26 and 3,495

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Solution

The fourth proportional to 10,072.20, 15,100.26 and 3,495 is: 5,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.20 : 15,100.26 = 3,495 : x
  2. Step 2: Convert to fraction form
    10,072.20/15,100.26 = 3,495/x
  3. Step 3: Cross multiply
    10,072.20x = 15,100.26 × 3,495
  4. Step 4: Simplify right side
    10,072.20x = 52,775,408.70
  5. Step 5: Solve for x
    x = 52,775,408.70/10,072.20
  6. Step 6: Final answer
    x = 5,239.71

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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.