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Finding the Fourth Proportional to 8,446.02, 11,649.87 and 5,085.33

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Solution

The fourth proportional to 8,446.02, 11,649.87 and 5,085.33 is: 7,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.02 : 11,649.87 = 5,085.33 : x
  2. Step 2: Convert to fraction form
    8,446.02/11,649.87 = 5,085.33/x
  3. Step 3: Cross multiply
    8,446.02x = 11,649.87 × 5,085.33
  4. Step 4: Simplify right side
    8,446.02x = 59,243,433.41
  5. Step 5: Solve for x
    x = 59,243,433.41/8,446.02
  6. Step 6: Final answer
    x = 7,014.36

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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.