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Finding the Fourth Proportional to 11,673.88, 17,502.62 and 5,427.28

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Solution

The fourth proportional to 11,673.88, 17,502.62 and 5,427.28 is: 8,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.88 : 17,502.62 = 5,427.28 : x
  2. Step 2: Convert to fraction form
    11,673.88/17,502.62 = 5,427.28/x
  3. Step 3: Cross multiply
    11,673.88x = 17,502.62 × 5,427.28
  4. Step 4: Simplify right side
    11,673.88x = 94,991,619.47
  5. Step 5: Solve for x
    x = 94,991,619.47/11,673.88
  6. Step 6: Final answer
    x = 8,137.11

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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.