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Finding the Fourth Proportional to 7,696.67, 11,545.02 and 3,311.42

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Solution

The fourth proportional to 7,696.67, 11,545.02 and 3,311.42 is: 4,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.67 : 11,545.02 = 3,311.42 : x
  2. Step 2: Convert to fraction form
    7,696.67/11,545.02 = 3,311.42/x
  3. Step 3: Cross multiply
    7,696.67x = 11,545.02 × 3,311.42
  4. Step 4: Simplify right side
    7,696.67x = 38,230,352.40
  5. Step 5: Solve for x
    x = 38,230,352.40/7,696.67
  6. Step 6: Final answer
    x = 4,967.13

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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.