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Finding the Fourth Proportional to 11,223.30, 16,834.97 and 4,649.64

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Solution

The fourth proportional to 11,223.30, 16,834.97 and 4,649.64 is: 6,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.30 : 16,834.97 = 4,649.64 : x
  2. Step 2: Convert to fraction form
    11,223.30/16,834.97 = 4,649.64/x
  3. Step 3: Cross multiply
    11,223.30x = 16,834.97 × 4,649.64
  4. Step 4: Simplify right side
    11,223.30x = 78,276,549.91
  5. Step 5: Solve for x
    x = 78,276,549.91/11,223.30
  6. Step 6: Final answer
    x = 6,974.47

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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.