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Finding the Fourth Proportional to 11,900.07, 16,422.12 and 7,184.39

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Solution

The fourth proportional to 11,900.07, 16,422.12 and 7,184.39 is: 9,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.07 : 16,422.12 = 7,184.39 : x
  2. Step 2: Convert to fraction form
    11,900.07/16,422.12 = 7,184.39/x
  3. Step 3: Cross multiply
    11,900.07x = 16,422.12 × 7,184.39
  4. Step 4: Simplify right side
    11,900.07x = 117,982,832.60
  5. Step 5: Solve for x
    x = 117,982,832.60/11,900.07
  6. Step 6: Final answer
    x = 9,914.47

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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.