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Finding the Fourth Proportional to 7,669.13, 10,561.49 and 6,906.41

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Solution

The fourth proportional to 7,669.13, 10,561.49 and 6,906.41 is: 9,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.13 : 10,561.49 = 6,906.41 : x
  2. Step 2: Convert to fraction form
    7,669.13/10,561.49 = 6,906.41/x
  3. Step 3: Cross multiply
    7,669.13x = 10,561.49 × 6,906.41
  4. Step 4: Simplify right side
    7,669.13x = 72,942,017.72
  5. Step 5: Solve for x
    x = 72,942,017.72/7,669.13
  6. Step 6: Final answer
    x = 9,511.12

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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.