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Finding the Fourth Proportional to 10,820.02, 16,223.46 and 4,238.32

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Solution

The fourth proportional to 10,820.02, 16,223.46 and 4,238.32 is: 6,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.02 : 16,223.46 = 4,238.32 : x
  2. Step 2: Convert to fraction form
    10,820.02/16,223.46 = 4,238.32/x
  3. Step 3: Cross multiply
    10,820.02x = 16,223.46 × 4,238.32
  4. Step 4: Simplify right side
    10,820.02x = 68,760,214.99
  5. Step 5: Solve for x
    x = 68,760,214.99/10,820.02
  6. Step 6: Final answer
    x = 6,354.91

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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.