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Finding the Fourth Proportional to 10,442.70, 15,651.09 and 5,172.03

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Solution

The fourth proportional to 10,442.70, 15,651.09 and 5,172.03 is: 7,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.70 : 15,651.09 = 5,172.03 : x
  2. Step 2: Convert to fraction form
    10,442.70/15,651.09 = 5,172.03/x
  3. Step 3: Cross multiply
    10,442.70x = 15,651.09 × 5,172.03
  4. Step 4: Simplify right side
    10,442.70x = 80,947,907.01
  5. Step 5: Solve for x
    x = 80,947,907.01/10,442.70
  6. Step 6: Final answer
    x = 7,751.63

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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.