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Finding the Fourth Proportional to 11,500.80, 15,870.92 and 6,396.12

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Solution

The fourth proportional to 11,500.80, 15,870.92 and 6,396.12 is: 8,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.80 : 15,870.92 = 6,396.12 : x
  2. Step 2: Convert to fraction form
    11,500.80/15,870.92 = 6,396.12/x
  3. Step 3: Cross multiply
    11,500.80x = 15,870.92 × 6,396.12
  4. Step 4: Simplify right side
    11,500.80x = 101,512,276.85
  5. Step 5: Solve for x
    x = 101,512,276.85/11,500.80
  6. Step 6: Final answer
    x = 8,826.54

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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.