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Finding the Fourth Proportional to 11,805.32, 16,296.50 and 7,977.80

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Solution

The fourth proportional to 11,805.32, 16,296.50 and 7,977.80 is: 11,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.32 : 16,296.50 = 7,977.80 : x
  2. Step 2: Convert to fraction form
    11,805.32/16,296.50 = 7,977.80/x
  3. Step 3: Cross multiply
    11,805.32x = 16,296.50 × 7,977.80
  4. Step 4: Simplify right side
    11,805.32x = 130,010,217.70
  5. Step 5: Solve for x
    x = 130,010,217.70/11,805.32
  6. Step 6: Final answer
    x = 11,012.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.