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Finding the Fourth Proportional to 8,023.04, 12,035.32 and 3,024.12

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Solution

The fourth proportional to 8,023.04, 12,035.32 and 3,024.12 is: 4,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.04 : 12,035.32 = 3,024.12 : x
  2. Step 2: Convert to fraction form
    8,023.04/12,035.32 = 3,024.12/x
  3. Step 3: Cross multiply
    8,023.04x = 12,035.32 × 3,024.12
  4. Step 4: Simplify right side
    8,023.04x = 36,396,251.92
  5. Step 5: Solve for x
    x = 36,396,251.92/8,023.04
  6. Step 6: Final answer
    x = 4,536.47

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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.