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Finding the Fourth Proportional to 13,906.64, 19,191 and 7,619

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Solution

The fourth proportional to 13,906.64, 19,191 and 7,619 is: 10,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.64 : 19,191 = 7,619 : x
  2. Step 2: Convert to fraction form
    13,906.64/19,191 = 7,619/x
  3. Step 3: Cross multiply
    13,906.64x = 19,191 × 7,619
  4. Step 4: Simplify right side
    13,906.64x = 146,216,229
  5. Step 5: Solve for x
    x = 146,216,229/13,906.64
  6. Step 6: Final answer
    x = 10,514.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.