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Finding the Fourth Proportional to 10,820.01, 16,230.62 and 5,278.09

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Solution

The fourth proportional to 10,820.01, 16,230.62 and 5,278.09 is: 7,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.01 : 16,230.62 = 5,278.09 : x
  2. Step 2: Convert to fraction form
    10,820.01/16,230.62 = 5,278.09/x
  3. Step 3: Cross multiply
    10,820.01x = 16,230.62 × 5,278.09
  4. Step 4: Simplify right side
    10,820.01x = 85,666,673.12
  5. Step 5: Solve for x
    x = 85,666,673.12/10,820.01
  6. Step 6: Final answer
    x = 7,917.43

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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.