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Finding the Fourth Proportional to 8,384.63, 12,578.97 and 5,924.24

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Solution

The fourth proportional to 8,384.63, 12,578.97 and 5,924.24 is: 8,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.63 : 12,578.97 = 5,924.24 : x
  2. Step 2: Convert to fraction form
    8,384.63/12,578.97 = 5,924.24/x
  3. Step 3: Cross multiply
    8,384.63x = 12,578.97 × 5,924.24
  4. Step 4: Simplify right side
    8,384.63x = 74,520,837.23
  5. Step 5: Solve for x
    x = 74,520,837.23/8,384.63
  6. Step 6: Final answer
    x = 8,887.79

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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.