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Finding the Fourth Proportional to 11,793.67, 16,275.26 and 7,077.96

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Solution

The fourth proportional to 11,793.67, 16,275.26 and 7,077.96 is: 9,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.67 : 16,275.26 = 7,077.96 : x
  2. Step 2: Convert to fraction form
    11,793.67/16,275.26 = 7,077.96/x
  3. Step 3: Cross multiply
    11,793.67x = 16,275.26 × 7,077.96
  4. Step 4: Simplify right side
    11,793.67x = 115,195,639.27
  5. Step 5: Solve for x
    x = 115,195,639.27/11,793.67
  6. Step 6: Final answer
    x = 9,767.58

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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.