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Finding the Fourth Proportional to 7,697.40, 11,545.62 and 2,766.90

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Solution

The fourth proportional to 7,697.40, 11,545.62 and 2,766.90 is: 4,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.40 : 11,545.62 = 2,766.90 : x
  2. Step 2: Convert to fraction form
    7,697.40/11,545.62 = 2,766.90/x
  3. Step 3: Cross multiply
    7,697.40x = 11,545.62 × 2,766.90
  4. Step 4: Simplify right side
    7,697.40x = 31,945,575.98
  5. Step 5: Solve for x
    x = 31,945,575.98/7,697.40
  6. Step 6: Final answer
    x = 4,150.18

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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.