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Finding the Fourth Proportional to 10,771.86, 16,165.20 and 4,198.08

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Solution

The fourth proportional to 10,771.86, 16,165.20 and 4,198.08 is: 6,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.86 : 16,165.20 = 4,198.08 : x
  2. Step 2: Convert to fraction form
    10,771.86/16,165.20 = 4,198.08/x
  3. Step 3: Cross multiply
    10,771.86x = 16,165.20 × 4,198.08
  4. Step 4: Simplify right side
    10,771.86x = 67,862,802.82
  5. Step 5: Solve for x
    x = 67,862,802.82/10,771.86
  6. Step 6: Final answer
    x = 6,300.01

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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.