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Finding the Fourth Proportional to 10,620.96, 14,657.22 and 5,905.56

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Solution

The fourth proportional to 10,620.96, 14,657.22 and 5,905.56 is: 8,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.96 : 14,657.22 = 5,905.56 : x
  2. Step 2: Convert to fraction form
    10,620.96/14,657.22 = 5,905.56/x
  3. Step 3: Cross multiply
    10,620.96x = 14,657.22 × 5,905.56
  4. Step 4: Simplify right side
    10,620.96x = 86,559,092.14
  5. Step 5: Solve for x
    x = 86,559,092.14/10,620.96
  6. Step 6: Final answer
    x = 8,149.84

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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.