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Finding the Fourth Proportional to 10,555.92, 15,832.67 and 2,765.34

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Solution

The fourth proportional to 10,555.92, 15,832.67 and 2,765.34 is: 4,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.92 : 15,832.67 = 2,765.34 : x
  2. Step 2: Convert to fraction form
    10,555.92/15,832.67 = 2,765.34/x
  3. Step 3: Cross multiply
    10,555.92x = 15,832.67 × 2,765.34
  4. Step 4: Simplify right side
    10,555.92x = 43,782,701.83
  5. Step 5: Solve for x
    x = 43,782,701.83/10,555.92
  6. Step 6: Final answer
    x = 4,147.69

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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.