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Finding the Fourth Proportional to 10,804.77, 16,199.19 and 4,227.57

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Solution

The fourth proportional to 10,804.77, 16,199.19 and 4,227.57 is: 6,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.77 : 16,199.19 = 4,227.57 : x
  2. Step 2: Convert to fraction form
    10,804.77/16,199.19 = 4,227.57/x
  3. Step 3: Cross multiply
    10,804.77x = 16,199.19 × 4,227.57
  4. Step 4: Simplify right side
    10,804.77x = 68,483,209.67
  5. Step 5: Solve for x
    x = 68,483,209.67/10,804.77
  6. Step 6: Final answer
    x = 6,338.24

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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.