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Finding the Fourth Proportional to 8,474.99, 12,711.67 and 5,186.39

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Solution

The fourth proportional to 8,474.99, 12,711.67 and 5,186.39 is: 7,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.99 : 12,711.67 = 5,186.39 : x
  2. Step 2: Convert to fraction form
    8,474.99/12,711.67 = 5,186.39/x
  3. Step 3: Cross multiply
    8,474.99x = 12,711.67 × 5,186.39
  4. Step 4: Simplify right side
    8,474.99x = 65,927,678.17
  5. Step 5: Solve for x
    x = 65,927,678.17/8,474.99
  6. Step 6: Final answer
    x = 7,779.09

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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.