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Finding the Fourth Proportional to 11,871.12, 17,797.08 and 4,950.80

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Solution

The fourth proportional to 11,871.12, 17,797.08 and 4,950.80 is: 7,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.12 : 17,797.08 = 4,950.80 : x
  2. Step 2: Convert to fraction form
    11,871.12/17,797.08 = 4,950.80/x
  3. Step 3: Cross multiply
    11,871.12x = 17,797.08 × 4,950.80
  4. Step 4: Simplify right side
    11,871.12x = 88,109,783.66
  5. Step 5: Solve for x
    x = 88,109,783.66/11,871.12
  6. Step 6: Final answer
    x = 7,422.20

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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.