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Finding the Fourth Proportional to 8,185.98, 11,296.65 and 4,649.19

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Solution

The fourth proportional to 8,185.98, 11,296.65 and 4,649.19 is: 6,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.98 : 11,296.65 = 4,649.19 : x
  2. Step 2: Convert to fraction form
    8,185.98/11,296.65 = 4,649.19/x
  3. Step 3: Cross multiply
    8,185.98x = 11,296.65 × 4,649.19
  4. Step 4: Simplify right side
    8,185.98x = 52,520,272.21
  5. Step 5: Solve for x
    x = 52,520,272.21/8,185.98
  6. Step 6: Final answer
    x = 6,415.88

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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.