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Finding the Fourth Proportional to 8,085.87, 12,128.81 and 3,638.34

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Solution

The fourth proportional to 8,085.87, 12,128.81 and 3,638.34 is: 5,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.87 : 12,128.81 = 3,638.34 : x
  2. Step 2: Convert to fraction form
    8,085.87/12,128.81 = 3,638.34/x
  3. Step 3: Cross multiply
    8,085.87x = 12,128.81 × 3,638.34
  4. Step 4: Simplify right side
    8,085.87x = 44,128,699.33
  5. Step 5: Solve for x
    x = 44,128,699.33/8,085.87
  6. Step 6: Final answer
    x = 5,457.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.