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Finding the Fourth Proportional to 10,765.96, 16,151.54 and 3,744.95

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Solution

The fourth proportional to 10,765.96, 16,151.54 and 3,744.95 is: 5,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.96 : 16,151.54 = 3,744.95 : x
  2. Step 2: Convert to fraction form
    10,765.96/16,151.54 = 3,744.95/x
  3. Step 3: Cross multiply
    10,765.96x = 16,151.54 × 3,744.95
  4. Step 4: Simplify right side
    10,765.96x = 60,486,610.24
  5. Step 5: Solve for x
    x = 60,486,610.24/10,765.96
  6. Step 6: Final answer
    x = 5,618.32

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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.