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Finding the Fourth Proportional to 10,765.79, 16,151.74 and 4,193.85

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Solution

The fourth proportional to 10,765.79, 16,151.74 and 4,193.85 is: 6,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.79 : 16,151.74 = 4,193.85 : x
  2. Step 2: Convert to fraction form
    10,765.79/16,151.74 = 4,193.85/x
  3. Step 3: Cross multiply
    10,765.79x = 16,151.74 × 4,193.85
  4. Step 4: Simplify right side
    10,765.79x = 67,738,024.88
  5. Step 5: Solve for x
    x = 67,738,024.88/10,765.79
  6. Step 6: Final answer
    x = 6,291.97

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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.