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Finding the Fourth Proportional to 11,713.98, 17,570.97 and 4,788.48

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Solution

The fourth proportional to 11,713.98, 17,570.97 and 4,788.48 is: 7,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.98 : 17,570.97 = 4,788.48 : x
  2. Step 2: Convert to fraction form
    11,713.98/17,570.97 = 4,788.48/x
  3. Step 3: Cross multiply
    11,713.98x = 17,570.97 × 4,788.48
  4. Step 4: Simplify right side
    11,713.98x = 84,138,238.43
  5. Step 5: Solve for x
    x = 84,138,238.43/11,713.98
  6. Step 6: Final answer
    x = 7,182.72

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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.