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Finding the Fourth Proportional to 8,098.37, 11,175.74 and 4,561.61

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Solution

The fourth proportional to 8,098.37, 11,175.74 and 4,561.61 is: 6,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.37 : 11,175.74 = 4,561.61 : x
  2. Step 2: Convert to fraction form
    8,098.37/11,175.74 = 4,561.61/x
  3. Step 3: Cross multiply
    8,098.37x = 11,175.74 × 4,561.61
  4. Step 4: Simplify right side
    8,098.37x = 50,979,305.76
  5. Step 5: Solve for x
    x = 50,979,305.76/8,098.37
  6. Step 6: Final answer
    x = 6,295.01

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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.