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Finding the Fourth Proportional to 10,742.84, 14,825.26 and 8,049.28

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Solution

The fourth proportional to 10,742.84, 14,825.26 and 8,049.28 is: 11,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.84 : 14,825.26 = 8,049.28 : x
  2. Step 2: Convert to fraction form
    10,742.84/14,825.26 = 8,049.28/x
  3. Step 3: Cross multiply
    10,742.84x = 14,825.26 × 8,049.28
  4. Step 4: Simplify right side
    10,742.84x = 119,332,668.81
  5. Step 5: Solve for x
    x = 119,332,668.81/10,742.84
  6. Step 6: Final answer
    x = 11,108.11

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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.