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Finding the Fourth Proportional to 10,782.96, 16,177.05 and 4,119.78

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Solution

The fourth proportional to 10,782.96, 16,177.05 and 4,119.78 is: 6,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.96 : 16,177.05 = 4,119.78 : x
  2. Step 2: Convert to fraction form
    10,782.96/16,177.05 = 4,119.78/x
  3. Step 3: Cross multiply
    10,782.96x = 16,177.05 × 4,119.78
  4. Step 4: Simplify right side
    10,782.96x = 66,645,887.05
  5. Step 5: Solve for x
    x = 66,645,887.05/10,782.96
  6. Step 6: Final answer
    x = 6,180.67

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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.