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Finding the Fourth Proportional to 11,426.96, 15,770.72 and 6,393.11

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Solution

The fourth proportional to 11,426.96, 15,770.72 and 6,393.11 is: 8,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.96 : 15,770.72 = 6,393.11 : x
  2. Step 2: Convert to fraction form
    11,426.96/15,770.72 = 6,393.11/x
  3. Step 3: Cross multiply
    11,426.96x = 15,770.72 × 6,393.11
  4. Step 4: Simplify right side
    11,426.96x = 100,823,947.74
  5. Step 5: Solve for x
    x = 100,823,947.74/11,426.96
  6. Step 6: Final answer
    x = 8,823.34

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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.