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Finding the Fourth Proportional to 8,561.49, 12,838.99 and 3,633.45

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Solution

The fourth proportional to 8,561.49, 12,838.99 and 3,633.45 is: 5,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.49 : 12,838.99 = 3,633.45 : x
  2. Step 2: Convert to fraction form
    8,561.49/12,838.99 = 3,633.45/x
  3. Step 3: Cross multiply
    8,561.49x = 12,838.99 × 3,633.45
  4. Step 4: Simplify right side
    8,561.49x = 46,649,828.22
  5. Step 5: Solve for x
    x = 46,649,828.22/8,561.49
  6. Step 6: Final answer
    x = 5,448.80

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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.