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Finding the Fourth Proportional to 11,578.50, 15,977.64 and 6,797.76

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Solution

The fourth proportional to 11,578.50, 15,977.64 and 6,797.76 is: 9,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.50 : 15,977.64 = 6,797.76 : x
  2. Step 2: Convert to fraction form
    11,578.50/15,977.64 = 6,797.76/x
  3. Step 3: Cross multiply
    11,578.50x = 15,977.64 × 6,797.76
  4. Step 4: Simplify right side
    11,578.50x = 108,612,162.09
  5. Step 5: Solve for x
    x = 108,612,162.09/11,578.50
  6. Step 6: Final answer
    x = 9,380.50

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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.