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Finding the Fourth Proportional to 10,608.68, 14,639.70 and 5,892.84

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Solution

The fourth proportional to 10,608.68, 14,639.70 and 5,892.84 is: 8,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.68 : 14,639.70 = 5,892.84 : x
  2. Step 2: Convert to fraction form
    10,608.68/14,639.70 = 5,892.84/x
  3. Step 3: Cross multiply
    10,608.68x = 14,639.70 × 5,892.84
  4. Step 4: Simplify right side
    10,608.68x = 86,269,409.75
  5. Step 5: Solve for x
    x = 86,269,409.75/10,608.68
  6. Step 6: Final answer
    x = 8,131.96

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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.