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Finding the Fourth Proportional to 11,797.80, 16,175.44 and 11,587.20

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Solution

The fourth proportional to 11,797.80, 16,175.44 and 11,587.20 is: 15,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.80 : 16,175.44 = 11,587.20 : x
  2. Step 2: Convert to fraction form
    11,797.80/16,175.44 = 11,587.20/x
  3. Step 3: Cross multiply
    11,797.80x = 16,175.44 × 11,587.20
  4. Step 4: Simplify right side
    11,797.80x = 187,428,058.37
  5. Step 5: Solve for x
    x = 187,428,058.37/11,797.80
  6. Step 6: Final answer
    x = 15,886.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.