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Finding the Fourth Proportional to 11,834.22, 16,332.03 and 6,866.22

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Solution

The fourth proportional to 11,834.22, 16,332.03 and 6,866.22 is: 9,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.22 : 16,332.03 = 6,866.22 : x
  2. Step 2: Convert to fraction form
    11,834.22/16,332.03 = 6,866.22/x
  3. Step 3: Cross multiply
    11,834.22x = 16,332.03 × 6,866.22
  4. Step 4: Simplify right side
    11,834.22x = 112,139,311.03
  5. Step 5: Solve for x
    x = 112,139,311.03/11,834.22
  6. Step 6: Final answer
    x = 9,475.85

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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.