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Finding the Fourth Proportional to 11,942.88, 16,489.38 and 7,468.80

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Solution

The fourth proportional to 11,942.88, 16,489.38 and 7,468.80 is: 10,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.88 : 16,489.38 = 7,468.80 : x
  2. Step 2: Convert to fraction form
    11,942.88/16,489.38 = 7,468.80/x
  3. Step 3: Cross multiply
    11,942.88x = 16,489.38 × 7,468.80
  4. Step 4: Simplify right side
    11,942.88x = 123,155,881.34
  5. Step 5: Solve for x
    x = 123,155,881.34/11,942.88
  6. Step 6: Final answer
    x = 10,312.08

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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.