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Finding the Fourth Proportional to 10,822.15, 14,933.86 and 6,042.54

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Solution

The fourth proportional to 10,822.15, 14,933.86 and 6,042.54 is: 8,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.15 : 14,933.86 = 6,042.54 : x
  2. Step 2: Convert to fraction form
    10,822.15/14,933.86 = 6,042.54/x
  3. Step 3: Cross multiply
    10,822.15x = 14,933.86 × 6,042.54
  4. Step 4: Simplify right side
    10,822.15x = 90,238,431.30
  5. Step 5: Solve for x
    x = 90,238,431.30/10,822.15
  6. Step 6: Final answer
    x = 8,338.31

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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.