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Finding the Fourth Proportional to 11,527.18, 17,278.45 and 8,230.28

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Solution

The fourth proportional to 11,527.18, 17,278.45 and 8,230.28 is: 12,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.18 : 17,278.45 = 8,230.28 : x
  2. Step 2: Convert to fraction form
    11,527.18/17,278.45 = 8,230.28/x
  3. Step 3: Cross multiply
    11,527.18x = 17,278.45 × 8,230.28
  4. Step 4: Simplify right side
    11,527.18x = 142,206,374.50
  5. Step 5: Solve for x
    x = 142,206,374.50/11,527.18
  6. Step 6: Final answer
    x = 12,336.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.