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Finding the Fourth Proportional to 10,446.67, 15,655.26 and 5,768.78

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Solution

The fourth proportional to 10,446.67, 15,655.26 and 5,768.78 is: 8,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.67 : 15,655.26 = 5,768.78 : x
  2. Step 2: Convert to fraction form
    10,446.67/15,655.26 = 5,768.78/x
  3. Step 3: Cross multiply
    10,446.67x = 15,655.26 × 5,768.78
  4. Step 4: Simplify right side
    10,446.67x = 90,311,782.20
  5. Step 5: Solve for x
    x = 90,311,782.20/10,446.67
  6. Step 6: Final answer
    x = 8,645.03

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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.