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Finding the Fourth Proportional to 10,940.22, 16,385.62 and 7,667.88

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Solution

The fourth proportional to 10,940.22, 16,385.62 and 7,667.88 is: 11,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.22 : 16,385.62 = 7,667.88 : x
  2. Step 2: Convert to fraction form
    10,940.22/16,385.62 = 7,667.88/x
  3. Step 3: Cross multiply
    10,940.22x = 16,385.62 × 7,667.88
  4. Step 4: Simplify right side
    10,940.22x = 125,642,967.89
  5. Step 5: Solve for x
    x = 125,642,967.89/10,940.22
  6. Step 6: Final answer
    x = 11,484.50

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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.