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Finding the Fourth Proportional to 7,711.25, 11,567.44 and 6,793.16

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Solution

The fourth proportional to 7,711.25, 11,567.44 and 6,793.16 is: 10,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.25 : 11,567.44 = 6,793.16 : x
  2. Step 2: Convert to fraction form
    7,711.25/11,567.44 = 6,793.16/x
  3. Step 3: Cross multiply
    7,711.25x = 11,567.44 × 6,793.16
  4. Step 4: Simplify right side
    7,711.25x = 78,579,470.71
  5. Step 5: Solve for x
    x = 78,579,470.71/7,711.25
  6. Step 6: Final answer
    x = 10,190.24

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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.