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Finding the Fourth Proportional to 8,215.02, 12,323.61 and 3,024.54

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Solution

The fourth proportional to 8,215.02, 12,323.61 and 3,024.54 is: 4,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.02 : 12,323.61 = 3,024.54 : x
  2. Step 2: Convert to fraction form
    8,215.02/12,323.61 = 3,024.54/x
  3. Step 3: Cross multiply
    8,215.02x = 12,323.61 × 3,024.54
  4. Step 4: Simplify right side
    8,215.02x = 37,273,251.39
  5. Step 5: Solve for x
    x = 37,273,251.39/8,215.02
  6. Step 6: Final answer
    x = 4,537.21

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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.