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Finding the Fourth Proportional to 10,291.20, 14,201.01 and 6,042.84

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Solution

The fourth proportional to 10,291.20, 14,201.01 and 6,042.84 is: 8,338.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.20 : 14,201.01 = 6,042.84 : x
  2. Step 2: Convert to fraction form
    10,291.20/14,201.01 = 6,042.84/x
  3. Step 3: Cross multiply
    10,291.20x = 14,201.01 × 6,042.84
  4. Step 4: Simplify right side
    10,291.20x = 85,814,431.27
  5. Step 5: Solve for x
    x = 85,814,431.27/10,291.20
  6. Step 6: Final answer
    x = 8,338.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.