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Finding the Fourth Proportional to 8,136.68, 11,227.86 and 4,600.16

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Solution

The fourth proportional to 8,136.68, 11,227.86 and 4,600.16 is: 6,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.68 : 11,227.86 = 4,600.16 : x
  2. Step 2: Convert to fraction form
    8,136.68/11,227.86 = 4,600.16/x
  3. Step 3: Cross multiply
    8,136.68x = 11,227.86 × 4,600.16
  4. Step 4: Simplify right side
    8,136.68x = 51,649,952.46
  5. Step 5: Solve for x
    x = 51,649,952.46/8,136.68
  6. Step 6: Final answer
    x = 6,347.79

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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.