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Finding the Fourth Proportional to 10,749.69, 14,834.08 and 5,969.94

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Solution

The fourth proportional to 10,749.69, 14,834.08 and 5,969.94 is: 8,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.69 : 14,834.08 = 5,969.94 : x
  2. Step 2: Convert to fraction form
    10,749.69/14,834.08 = 5,969.94/x
  3. Step 3: Cross multiply
    10,749.69x = 14,834.08 × 5,969.94
  4. Step 4: Simplify right side
    10,749.69x = 88,558,552.63
  5. Step 5: Solve for x
    x = 88,558,552.63/10,749.69
  6. Step 6: Final answer
    x = 8,238.24

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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.