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Finding the Fourth Proportional to 10,820.34, 16,223.52 and 4,247.19

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Solution

The fourth proportional to 10,820.34, 16,223.52 and 4,247.19 is: 6,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.34 : 16,223.52 = 4,247.19 : x
  2. Step 2: Convert to fraction form
    10,820.34/16,223.52 = 4,247.19/x
  3. Step 3: Cross multiply
    10,820.34x = 16,223.52 × 4,247.19
  4. Step 4: Simplify right side
    10,820.34x = 68,904,371.91
  5. Step 5: Solve for x
    x = 68,904,371.91/10,820.34
  6. Step 6: Final answer
    x = 6,368.04

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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.