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Finding the Fourth Proportional to 10,808.50, 16,191.77 and 7,099.48

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Solution

The fourth proportional to 10,808.50, 16,191.77 and 7,099.48 is: 10,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.50 : 16,191.77 = 7,099.48 : x
  2. Step 2: Convert to fraction form
    10,808.50/16,191.77 = 7,099.48/x
  3. Step 3: Cross multiply
    10,808.50x = 16,191.77 × 7,099.48
  4. Step 4: Simplify right side
    10,808.50x = 114,953,066.32
  5. Step 5: Solve for x
    x = 114,953,066.32/10,808.50
  6. Step 6: Final answer
    x = 10,635.43

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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.