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Finding the Fourth Proportional to 10,684.63, 14,744.79 and 5,969.02

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Solution

The fourth proportional to 10,684.63, 14,744.79 and 5,969.02 is: 8,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.63 : 14,744.79 = 5,969.02 : x
  2. Step 2: Convert to fraction form
    10,684.63/14,744.79 = 5,969.02/x
  3. Step 3: Cross multiply
    10,684.63x = 14,744.79 × 5,969.02
  4. Step 4: Simplify right side
    10,684.63x = 88,011,872.68
  5. Step 5: Solve for x
    x = 88,011,872.68/10,684.63
  6. Step 6: Final answer
    x = 8,237.24

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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.