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Finding the Fourth Proportional to 11,524.48, 17,267.28 and 8,400.11

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Solution

The fourth proportional to 11,524.48, 17,267.28 and 8,400.11 is: 12,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.48 : 17,267.28 = 8,400.11 : x
  2. Step 2: Convert to fraction form
    11,524.48/17,267.28 = 8,400.11/x
  3. Step 3: Cross multiply
    11,524.48x = 17,267.28 × 8,400.11
  4. Step 4: Simplify right side
    11,524.48x = 145,046,933.56
  5. Step 5: Solve for x
    x = 145,046,933.56/11,524.48
  6. Step 6: Final answer
    x = 12,585.99

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