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Finding the Fourth Proportional to 10,184.56, 14,035.67 and 7,942.90

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Solution

The fourth proportional to 10,184.56, 14,035.67 and 7,942.90 is: 10,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184.56 : 14,035.67 = 7,942.90 : x
  2. Step 2: Convert to fraction form
    10,184.56/14,035.67 = 7,942.90/x
  3. Step 3: Cross multiply
    10,184.56x = 14,035.67 × 7,942.90
  4. Step 4: Simplify right side
    10,184.56x = 111,483,923.24
  5. Step 5: Solve for x
    x = 111,483,923.24/10,184.56
  6. Step 6: Final answer
    x = 10,946.37

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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.