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Finding the Fourth Proportional to 8,135.19, 12,200.22 and 3,203.46

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Solution

The fourth proportional to 8,135.19, 12,200.22 and 3,203.46 is: 4,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.19 : 12,200.22 = 3,203.46 : x
  2. Step 2: Convert to fraction form
    8,135.19/12,200.22 = 3,203.46/x
  3. Step 3: Cross multiply
    8,135.19x = 12,200.22 × 3,203.46
  4. Step 4: Simplify right side
    8,135.19x = 39,082,916.76
  5. Step 5: Solve for x
    x = 39,082,916.76/8,135.19
  6. Step 6: Final answer
    x = 4,804.18

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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.