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Finding the Fourth Proportional to 7,883.08, 11,816.40 and 2,950.57

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Solution

The fourth proportional to 7,883.08, 11,816.40 and 2,950.57 is: 4,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.08 : 11,816.40 = 2,950.57 : x
  2. Step 2: Convert to fraction form
    7,883.08/11,816.40 = 2,950.57/x
  3. Step 3: Cross multiply
    7,883.08x = 11,816.40 × 2,950.57
  4. Step 4: Simplify right side
    7,883.08x = 34,865,115.35
  5. Step 5: Solve for x
    x = 34,865,115.35/7,883.08
  6. Step 6: Final answer
    x = 4,422.78

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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.