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Finding the Fourth Proportional to 10,906.50, 16,368.02 and 7,992.42

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Solution

The fourth proportional to 10,906.50, 16,368.02 and 7,992.42 is: 11,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.50 : 16,368.02 = 7,992.42 : x
  2. Step 2: Convert to fraction form
    10,906.50/16,368.02 = 7,992.42/x
  3. Step 3: Cross multiply
    10,906.50x = 16,368.02 × 7,992.42
  4. Step 4: Simplify right side
    10,906.50x = 130,820,090.41
  5. Step 5: Solve for x
    x = 130,820,090.41/10,906.50
  6. Step 6: Final answer
    x = 11,994.69

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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.