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Finding the Fourth Proportional to 11,806.80, 16,294.53 and 6,771.50

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Solution

The fourth proportional to 11,806.80, 16,294.53 and 6,771.50 is: 9,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.80 : 16,294.53 = 6,771.50 : x
  2. Step 2: Convert to fraction form
    11,806.80/16,294.53 = 6,771.50/x
  3. Step 3: Cross multiply
    11,806.80x = 16,294.53 × 6,771.50
  4. Step 4: Simplify right side
    11,806.80x = 110,338,328.42
  5. Step 5: Solve for x
    x = 110,338,328.42/11,806.80
  6. Step 6: Final answer
    x = 9,345.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.