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Finding the Fourth Proportional to 10,744.57, 14,836.96 and 6,718.29

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Solution

The fourth proportional to 10,744.57, 14,836.96 and 6,718.29 is: 9,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.57 : 14,836.96 = 6,718.29 : x
  2. Step 2: Convert to fraction form
    10,744.57/14,836.96 = 6,718.29/x
  3. Step 3: Cross multiply
    10,744.57x = 14,836.96 × 6,718.29
  4. Step 4: Simplify right side
    10,744.57x = 99,678,998.43
  5. Step 5: Solve for x
    x = 99,678,998.43/10,744.57
  6. Step 6: Final answer
    x = 9,277.15

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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.