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Finding the Fourth Proportional to 10,311.36, 14,230.08 and 8,825.28

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Solution

The fourth proportional to 10,311.36, 14,230.08 and 8,825.28 is: 12,179.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.36 : 14,230.08 = 8,825.28 : x
  2. Step 2: Convert to fraction form
    10,311.36/14,230.08 = 8,825.28/x
  3. Step 3: Cross multiply
    10,311.36x = 14,230.08 × 8,825.28
  4. Step 4: Simplify right side
    10,311.36x = 125,584,440.42
  5. Step 5: Solve for x
    x = 125,584,440.42/10,311.36
  6. Step 6: Final answer
    x = 12,179.23

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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.