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Finding the Fourth Proportional to 8,784.31, 12,118.10 and 5,198.29

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Solution

The fourth proportional to 8,784.31, 12,118.10 and 5,198.29 is: 7,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.31 : 12,118.10 = 5,198.29 : x
  2. Step 2: Convert to fraction form
    8,784.31/12,118.10 = 5,198.29/x
  3. Step 3: Cross multiply
    8,784.31x = 12,118.10 × 5,198.29
  4. Step 4: Simplify right side
    8,784.31x = 62,993,398.05
  5. Step 5: Solve for x
    x = 62,993,398.05/8,784.31
  6. Step 6: Final answer
    x = 7,171.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.