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Finding the Fourth Proportional to 10,200.96, 14,074.63 and 6,221.84

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Solution

The fourth proportional to 10,200.96, 14,074.63 and 6,221.84 is: 8,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.96 : 14,074.63 = 6,221.84 : x
  2. Step 2: Convert to fraction form
    10,200.96/14,074.63 = 6,221.84/x
  3. Step 3: Cross multiply
    10,200.96x = 14,074.63 × 6,221.84
  4. Step 4: Simplify right side
    10,200.96x = 87,570,009.99
  5. Step 5: Solve for x
    x = 87,570,009.99/10,200.96
  6. Step 6: Final answer
    x = 8,584.49

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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.