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Finding the Fourth Proportional to 7,936.24, 10,929.80 and 7,764.06

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Solution

The fourth proportional to 7,936.24, 10,929.80 and 7,764.06 is: 10,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.24 : 10,929.80 = 7,764.06 : x
  2. Step 2: Convert to fraction form
    7,936.24/10,929.80 = 7,764.06/x
  3. Step 3: Cross multiply
    7,936.24x = 10,929.80 × 7,764.06
  4. Step 4: Simplify right side
    7,936.24x = 84,859,622.99
  5. Step 5: Solve for x
    x = 84,859,622.99/7,936.24
  6. Step 6: Final answer
    x = 10,692.67

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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.