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Finding the Fourth Proportional to 10,941.60, 16,414.20 and 4,704.60

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Solution

The fourth proportional to 10,941.60, 16,414.20 and 4,704.60 is: 7,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.60 : 16,414.20 = 4,704.60 : x
  2. Step 2: Convert to fraction form
    10,941.60/16,414.20 = 4,704.60/x
  3. Step 3: Cross multiply
    10,941.60x = 16,414.20 × 4,704.60
  4. Step 4: Simplify right side
    10,941.60x = 77,222,245.32
  5. Step 5: Solve for x
    x = 77,222,245.32/10,941.60
  6. Step 6: Final answer
    x = 7,057.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.