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Finding the Fourth Proportional to 10,709.60, 16,059.60 and 4,133.60

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Solution

The fourth proportional to 10,709.60, 16,059.60 and 4,133.60 is: 6,198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.60 : 16,059.60 = 4,133.60 : x
  2. Step 2: Convert to fraction form
    10,709.60/16,059.60 = 4,133.60/x
  3. Step 3: Cross multiply
    10,709.60x = 16,059.60 × 4,133.60
  4. Step 4: Simplify right side
    10,709.60x = 66,383,962.56
  5. Step 5: Solve for x
    x = 66,383,962.56/10,709.60
  6. Step 6: Final answer
    x = 6,198.55

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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.