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Finding the Fourth Proportional to 10,042.12, 13,858.49 and 6,062.46

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Solution

The fourth proportional to 10,042.12, 13,858.49 and 6,062.46 is: 8,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.12 : 13,858.49 = 6,062.46 : x
  2. Step 2: Convert to fraction form
    10,042.12/13,858.49 = 6,062.46/x
  3. Step 3: Cross multiply
    10,042.12x = 13,858.49 × 6,062.46
  4. Step 4: Simplify right side
    10,042.12x = 84,016,582.43
  5. Step 5: Solve for x
    x = 84,016,582.43/10,042.12
  6. Step 6: Final answer
    x = 8,366.42

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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.