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Finding the Fourth Proportional to 10,200.26, 14,076.06 and 6,220.64

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Solution

The fourth proportional to 10,200.26, 14,076.06 and 6,220.64 is: 8,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.26 : 14,076.06 = 6,220.64 : x
  2. Step 2: Convert to fraction form
    10,200.26/14,076.06 = 6,220.64/x
  3. Step 3: Cross multiply
    10,200.26x = 14,076.06 × 6,220.64
  4. Step 4: Simplify right side
    10,200.26x = 87,562,101.88
  5. Step 5: Solve for x
    x = 87,562,101.88/10,200.26
  6. Step 6: Final answer
    x = 8,584.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.