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Finding the Fourth Proportional to 11,544.70, 17,317.57 and 3,538.89

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Solution

The fourth proportional to 11,544.70, 17,317.57 and 3,538.89 is: 5,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.70 : 17,317.57 = 3,538.89 : x
  2. Step 2: Convert to fraction form
    11,544.70/17,317.57 = 3,538.89/x
  3. Step 3: Cross multiply
    11,544.70x = 17,317.57 × 3,538.89
  4. Step 4: Simplify right side
    11,544.70x = 61,284,871.02
  5. Step 5: Solve for x
    x = 61,284,871.02/11,544.70
  6. Step 6: Final answer
    x = 5,308.49

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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.