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Finding the Fourth Proportional to 10,744, 14,826.76 and 6,270.84

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Solution

The fourth proportional to 10,744, 14,826.76 and 6,270.84 is: 8,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744 : 14,826.76 = 6,270.84 : x
  2. Step 2: Convert to fraction form
    10,744/14,826.76 = 6,270.84/x
  3. Step 3: Cross multiply
    10,744x = 14,826.76 × 6,270.84
  4. Step 4: Simplify right side
    10,744x = 92,976,239.68
  5. Step 5: Solve for x
    x = 92,976,239.68/10,744
  6. Step 6: Final answer
    x = 8,653.78

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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.