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Finding the Fourth Proportional to 8,177.99, 12,266.94 and 4,892

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Solution

The fourth proportional to 8,177.99, 12,266.94 and 4,892 is: 7,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.99 : 12,266.94 = 4,892 : x
  2. Step 2: Convert to fraction form
    8,177.99/12,266.94 = 4,892/x
  3. Step 3: Cross multiply
    8,177.99x = 12,266.94 × 4,892
  4. Step 4: Simplify right side
    8,177.99x = 60,009,846.02
  5. Step 5: Solve for x
    x = 60,009,846.02/8,177.99
  6. Step 6: Final answer
    x = 7,337.97

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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.