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Finding the Fourth Proportional to 11,549.64, 17,327.02 and 3,341

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Solution

The fourth proportional to 11,549.64, 17,327.02 and 3,341 is: 5,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.64 : 17,327.02 = 3,341 : x
  2. Step 2: Convert to fraction form
    11,549.64/17,327.02 = 3,341/x
  3. Step 3: Cross multiply
    11,549.64x = 17,327.02 × 3,341
  4. Step 4: Simplify right side
    11,549.64x = 57,889,573.82
  5. Step 5: Solve for x
    x = 57,889,573.82/11,549.64
  6. Step 6: Final answer
    x = 5,012.24

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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.