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Finding the Fourth Proportional to 10,744.84, 14,827.12 and 5,965.04

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Solution

The fourth proportional to 10,744.84, 14,827.12 and 5,965.04 is: 8,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.84 : 14,827.12 = 5,965.04 : x
  2. Step 2: Convert to fraction form
    10,744.84/14,827.12 = 5,965.04/x
  3. Step 3: Cross multiply
    10,744.84x = 14,827.12 × 5,965.04
  4. Step 4: Simplify right side
    10,744.84x = 88,444,363.88
  5. Step 5: Solve for x
    x = 88,444,363.88/10,744.84
  6. Step 6: Final answer
    x = 8,231.33

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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.