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Finding the Fourth Proportional to 8,149.68, 11,246.46 and 4,612.80

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Solution

The fourth proportional to 8,149.68, 11,246.46 and 4,612.80 is: 6,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.68 : 11,246.46 = 4,612.80 : x
  2. Step 2: Convert to fraction form
    8,149.68/11,246.46 = 4,612.80/x
  3. Step 3: Cross multiply
    8,149.68x = 11,246.46 × 4,612.80
  4. Step 4: Simplify right side
    8,149.68x = 51,877,670.69
  5. Step 5: Solve for x
    x = 51,877,670.69/8,149.68
  6. Step 6: Final answer
    x = 6,365.61

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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.