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Finding the Fourth Proportional to 10,852.30, 16,267.27 and 4,933.31

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Solution

The fourth proportional to 10,852.30, 16,267.27 and 4,933.31 is: 7,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.30 : 16,267.27 = 4,933.31 : x
  2. Step 2: Convert to fraction form
    10,852.30/16,267.27 = 4,933.31/x
  3. Step 3: Cross multiply
    10,852.30x = 16,267.27 × 4,933.31
  4. Step 4: Simplify right side
    10,852.30x = 80,251,392.09
  5. Step 5: Solve for x
    x = 80,251,392.09/10,852.30
  6. Step 6: Final answer
    x = 7,394.88

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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.