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Finding the Fourth Proportional to 8,024.02, 12,035.49 and 3,407.02

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Solution

The fourth proportional to 8,024.02, 12,035.49 and 3,407.02 is: 5,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.02 : 12,035.49 = 3,407.02 : x
  2. Step 2: Convert to fraction form
    8,024.02/12,035.49 = 3,407.02/x
  3. Step 3: Cross multiply
    8,024.02x = 12,035.49 × 3,407.02
  4. Step 4: Simplify right side
    8,024.02x = 41,005,155.14
  5. Step 5: Solve for x
    x = 41,005,155.14/8,024.02
  6. Step 6: Final answer
    x = 5,110.30

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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.