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Finding the Fourth Proportional to 8,185.91, 11,297.54 and 4,649.99

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Solution

The fourth proportional to 8,185.91, 11,297.54 and 4,649.99 is: 6,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.91 : 11,297.54 = 4,649.99 : x
  2. Step 2: Convert to fraction form
    8,185.91/11,297.54 = 4,649.99/x
  3. Step 3: Cross multiply
    8,185.91x = 11,297.54 × 4,649.99
  4. Step 4: Simplify right side
    8,185.91x = 52,533,403.16
  5. Step 5: Solve for x
    x = 52,533,403.16/8,185.91
  6. Step 6: Final answer
    x = 6,417.54

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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.