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Finding the Fourth Proportional to 8,187.36, 11,297.94 and 4,649.88

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Solution

The fourth proportional to 8,187.36, 11,297.94 and 4,649.88 is: 6,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.36 : 11,297.94 = 4,649.88 : x
  2. Step 2: Convert to fraction form
    8,187.36/11,297.94 = 4,649.88/x
  3. Step 3: Cross multiply
    8,187.36x = 11,297.94 × 4,649.88
  4. Step 4: Simplify right side
    8,187.36x = 52,534,065.25
  5. Step 5: Solve for x
    x = 52,534,065.25/8,187.36
  6. Step 6: Final answer
    x = 6,416.48

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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.