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Finding the Fourth Proportional to 7,775.38, 11,650.83 and 4,849.30

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Solution

The fourth proportional to 7,775.38, 11,650.83 and 4,849.30 is: 7,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.38 : 11,650.83 = 4,849.30 : x
  2. Step 2: Convert to fraction form
    7,775.38/11,650.83 = 4,849.30/x
  3. Step 3: Cross multiply
    7,775.38x = 11,650.83 × 4,849.30
  4. Step 4: Simplify right side
    7,775.38x = 56,498,369.92
  5. Step 5: Solve for x
    x = 56,498,369.92/7,775.38
  6. Step 6: Final answer
    x = 7,266.32

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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.