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Finding the Fourth Proportional to 7,677.09, 11,455.75 and 6,849.67

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Solution

The fourth proportional to 7,677.09, 11,455.75 and 6,849.67 is: 10,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.09 : 11,455.75 = 6,849.67 : x
  2. Step 2: Convert to fraction form
    7,677.09/11,455.75 = 6,849.67/x
  3. Step 3: Cross multiply
    7,677.09x = 11,455.75 × 6,849.67
  4. Step 4: Simplify right side
    7,677.09x = 78,468,107.10
  5. Step 5: Solve for x
    x = 78,468,107.10/7,677.09
  6. Step 6: Final answer
    x = 10,221.07

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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.