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Finding the Fourth Proportional to 7,833.71, 11,749.94 and 3,672.65

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Solution

The fourth proportional to 7,833.71, 11,749.94 and 3,672.65 is: 5,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.71 : 11,749.94 = 3,672.65 : x
  2. Step 2: Convert to fraction form
    7,833.71/11,749.94 = 3,672.65/x
  3. Step 3: Cross multiply
    7,833.71x = 11,749.94 × 3,672.65
  4. Step 4: Simplify right side
    7,833.71x = 43,153,441.93
  5. Step 5: Solve for x
    x = 43,153,441.93/7,833.71
  6. Step 6: Final answer
    x = 5,508.68

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Why These Related Problems?

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