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Finding the Fourth Proportional to 8,098.50, 11,175.91 and 4,561.63

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Solution

The fourth proportional to 8,098.50, 11,175.91 and 4,561.63 is: 6,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.50 : 11,175.91 = 4,561.63 : x
  2. Step 2: Convert to fraction form
    8,098.50/11,175.91 = 4,561.63/x
  3. Step 3: Cross multiply
    8,098.50x = 11,175.91 × 4,561.63
  4. Step 4: Simplify right side
    8,098.50x = 50,980,366.33
  5. Step 5: Solve for x
    x = 50,980,366.33/8,098.50
  6. Step 6: Final answer
    x = 6,295.04

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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.