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Finding the Fourth Proportional to 10,808.86, 16,204.05 and 4,150.14

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Solution

The fourth proportional to 10,808.86, 16,204.05 and 4,150.14 is: 6,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.86 : 16,204.05 = 4,150.14 : x
  2. Step 2: Convert to fraction form
    10,808.86/16,204.05 = 4,150.14/x
  3. Step 3: Cross multiply
    10,808.86x = 16,204.05 × 4,150.14
  4. Step 4: Simplify right side
    10,808.86x = 67,249,076.07
  5. Step 5: Solve for x
    x = 67,249,076.07/10,808.86
  6. Step 6: Final answer
    x = 6,221.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.