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Finding the Fourth Proportional to 10,820.22, 16,218.02 and 4,576.34

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Solution

The fourth proportional to 10,820.22, 16,218.02 and 4,576.34 is: 6,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.22 : 16,218.02 = 4,576.34 : x
  2. Step 2: Convert to fraction form
    10,820.22/16,218.02 = 4,576.34/x
  3. Step 3: Cross multiply
    10,820.22x = 16,218.02 × 4,576.34
  4. Step 4: Simplify right side
    10,820.22x = 74,219,104.00
  5. Step 5: Solve for x
    x = 74,219,104.00/10,820.22
  6. Step 6: Final answer
    x = 6,859.30

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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.