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Finding the Fourth Proportional to 10,600.96, 14,628.72 and 5,884.96

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Solution

The fourth proportional to 10,600.96, 14,628.72 and 5,884.96 is: 8,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.96 : 14,628.72 = 5,884.96 : x
  2. Step 2: Convert to fraction form
    10,600.96/14,628.72 = 5,884.96/x
  3. Step 3: Cross multiply
    10,600.96x = 14,628.72 × 5,884.96
  4. Step 4: Simplify right side
    10,600.96x = 86,089,432.05
  5. Step 5: Solve for x
    x = 86,089,432.05/10,600.96
  6. Step 6: Final answer
    x = 8,120.91

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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.