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Finding the Fourth Proportional to 7,786.18, 11,664.15 and 6,913.54

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Solution

The fourth proportional to 7,786.18, 11,664.15 and 6,913.54 is: 10,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.18 : 11,664.15 = 6,913.54 : x
  2. Step 2: Convert to fraction form
    7,786.18/11,664.15 = 6,913.54/x
  3. Step 3: Cross multiply
    7,786.18x = 11,664.15 × 6,913.54
  4. Step 4: Simplify right side
    7,786.18x = 80,640,567.59
  5. Step 5: Solve for x
    x = 80,640,567.59/7,786.18
  6. Step 6: Final answer
    x = 10,356.88

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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.