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Finding the Fourth Proportional to 7,709.11, 11,495.96 and 7,638.94

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Solution

The fourth proportional to 7,709.11, 11,495.96 and 7,638.94 is: 11,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.11 : 11,495.96 = 7,638.94 : x
  2. Step 2: Convert to fraction form
    7,709.11/11,495.96 = 7,638.94/x
  3. Step 3: Cross multiply
    7,709.11x = 11,495.96 × 7,638.94
  4. Step 4: Simplify right side
    7,709.11x = 87,816,953.50
  5. Step 5: Solve for x
    x = 87,816,953.50/7,709.11
  6. Step 6: Final answer
    x = 11,391.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.