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Finding the Fourth Proportional to 10,157.70, 15,236.92 and 2,762.37

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Solution

The fourth proportional to 10,157.70, 15,236.92 and 2,762.37 is: 4,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.70 : 15,236.92 = 2,762.37 : x
  2. Step 2: Convert to fraction form
    10,157.70/15,236.92 = 2,762.37/x
  3. Step 3: Cross multiply
    10,157.70x = 15,236.92 × 2,762.37
  4. Step 4: Simplify right side
    10,157.70x = 42,089,934.52
  5. Step 5: Solve for x
    x = 42,089,934.52/10,157.70
  6. Step 6: Final answer
    x = 4,143.65

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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.