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Finding the Fourth Proportional to 7,767.58, 11,632.74 and 6,833.66

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Solution

The fourth proportional to 7,767.58, 11,632.74 and 6,833.66 is: 10,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.58 : 11,632.74 = 6,833.66 : x
  2. Step 2: Convert to fraction form
    7,767.58/11,632.74 = 6,833.66/x
  3. Step 3: Cross multiply
    7,767.58x = 11,632.74 × 6,833.66
  4. Step 4: Simplify right side
    7,767.58x = 79,494,190.03
  5. Step 5: Solve for x
    x = 79,494,190.03/7,767.58
  6. Step 6: Final answer
    x = 10,234.10

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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.