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Finding the Fourth Proportional to 6,709.14, 10,043.19 and 5,845.14

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Solution

The fourth proportional to 6,709.14, 10,043.19 and 5,845.14 is: 8,749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.14 : 10,043.19 = 5,845.14 : x
  2. Step 2: Convert to fraction form
    6,709.14/10,043.19 = 5,845.14/x
  3. Step 3: Cross multiply
    6,709.14x = 10,043.19 × 5,845.14
  4. Step 4: Simplify right side
    6,709.14x = 58,703,851.60
  5. Step 5: Solve for x
    x = 58,703,851.60/6,709.14
  6. Step 6: Final answer
    x = 8,749.83

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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.