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Finding the Fourth Proportional to 8,324.98, 12,486.76 and 5,194.13

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Solution

The fourth proportional to 8,324.98, 12,486.76 and 5,194.13 is: 7,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.98 : 12,486.76 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    8,324.98/12,486.76 = 5,194.13/x
  3. Step 3: Cross multiply
    8,324.98x = 12,486.76 × 5,194.13
  4. Step 4: Simplify right side
    8,324.98x = 64,857,779.30
  5. Step 5: Solve for x
    x = 64,857,779.30/8,324.98
  6. Step 6: Final answer
    x = 7,790.75

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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.