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Finding the Fourth Proportional to 11,524.37, 17,282.71 and 4,502.57

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Solution

The fourth proportional to 11,524.37, 17,282.71 and 4,502.57 is: 6,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.37 : 17,282.71 = 4,502.57 : x
  2. Step 2: Convert to fraction form
    11,524.37/17,282.71 = 4,502.57/x
  3. Step 3: Cross multiply
    11,524.37x = 17,282.71 × 4,502.57
  4. Step 4: Simplify right side
    11,524.37x = 77,816,513.89
  5. Step 5: Solve for x
    x = 77,816,513.89/11,524.37
  6. Step 6: Final answer
    x = 6,752.34

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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.