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Finding the Fourth Proportional to 11,159.88, 16,746.31 and 5,003.88

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Solution

The fourth proportional to 11,159.88, 16,746.31 and 5,003.88 is: 7,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.88 : 16,746.31 = 5,003.88 : x
  2. Step 2: Convert to fraction form
    11,159.88/16,746.31 = 5,003.88/x
  3. Step 3: Cross multiply
    11,159.88x = 16,746.31 × 5,003.88
  4. Step 4: Simplify right side
    11,159.88x = 83,796,525.68
  5. Step 5: Solve for x
    x = 83,796,525.68/11,159.88
  6. Step 6: Final answer
    x = 7,508.73

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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.