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Finding the Fourth Proportional to 11,571.14, 17,342.78 and 5,322.53

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Solution

The fourth proportional to 11,571.14, 17,342.78 and 5,322.53 is: 7,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.14 : 17,342.78 = 5,322.53 : x
  2. Step 2: Convert to fraction form
    11,571.14/17,342.78 = 5,322.53/x
  3. Step 3: Cross multiply
    11,571.14x = 17,342.78 × 5,322.53
  4. Step 4: Simplify right side
    11,571.14x = 92,307,523.50
  5. Step 5: Solve for x
    x = 92,307,523.50/11,571.14
  6. Step 6: Final answer
    x = 7,977.40

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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.