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Finding the Fourth Proportional to 10,263.38, 14,154.08 and 6,728.54

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Solution

The fourth proportional to 10,263.38, 14,154.08 and 6,728.54 is: 9,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.38 : 14,154.08 = 6,728.54 : x
  2. Step 2: Convert to fraction form
    10,263.38/14,154.08 = 6,728.54/x
  3. Step 3: Cross multiply
    10,263.38x = 14,154.08 × 6,728.54
  4. Step 4: Simplify right side
    10,263.38x = 95,236,293.44
  5. Step 5: Solve for x
    x = 95,236,293.44/10,263.38
  6. Step 6: Final answer
    x = 9,279.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.