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Finding the Fourth Proportional to 11,716.32, 17,586.72 and 6,795.60

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Solution

The fourth proportional to 11,716.32, 17,586.72 and 6,795.60 is: 10,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.32 : 17,586.72 = 6,795.60 : x
  2. Step 2: Convert to fraction form
    11,716.32/17,586.72 = 6,795.60/x
  3. Step 3: Cross multiply
    11,716.32x = 17,586.72 × 6,795.60
  4. Step 4: Simplify right side
    11,716.32x = 119,512,314.43
  5. Step 5: Solve for x
    x = 119,512,314.43/11,716.32
  6. Step 6: Final answer
    x = 10,200.50

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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.