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Finding the Fourth Proportional to 11,772.32, 17,650.80 and 6,581.60

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Solution

The fourth proportional to 11,772.32, 17,650.80 and 6,581.60 is: 9,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.32 : 17,650.80 = 6,581.60 : x
  2. Step 2: Convert to fraction form
    11,772.32/17,650.80 = 6,581.60/x
  3. Step 3: Cross multiply
    11,772.32x = 17,650.80 × 6,581.60
  4. Step 4: Simplify right side
    11,772.32x = 116,170,505.28
  5. Step 5: Solve for x
    x = 116,170,505.28/11,772.32
  6. Step 6: Final answer
    x = 9,868.11

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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.