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Finding the Fourth Proportional to 8,462.16, 11,676.76 and 4,924.80

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Solution

The fourth proportional to 8,462.16, 11,676.76 and 4,924.80 is: 6,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.16 : 11,676.76 = 4,924.80 : x
  2. Step 2: Convert to fraction form
    8,462.16/11,676.76 = 4,924.80/x
  3. Step 3: Cross multiply
    8,462.16x = 11,676.76 × 4,924.80
  4. Step 4: Simplify right side
    8,462.16x = 57,505,707.65
  5. Step 5: Solve for x
    x = 57,505,707.65/8,462.16
  6. Step 6: Final answer
    x = 6,795.63

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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.