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Finding the Fourth Proportional to 7,309.86, 10,942.14 and 5,911.56

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Solution

The fourth proportional to 7,309.86, 10,942.14 and 5,911.56 is: 8,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.86 : 10,942.14 = 5,911.56 : x
  2. Step 2: Convert to fraction form
    7,309.86/10,942.14 = 5,911.56/x
  3. Step 3: Cross multiply
    7,309.86x = 10,942.14 × 5,911.56
  4. Step 4: Simplify right side
    7,309.86x = 64,685,117.14
  5. Step 5: Solve for x
    x = 64,685,117.14/7,309.86
  6. Step 6: Final answer
    x = 8,849.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.