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Finding the Fourth Proportional to 7,832.57, 11,747.03 and 3,668.63

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Solution

The fourth proportional to 7,832.57, 11,747.03 and 3,668.63 is: 5,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.57 : 11,747.03 = 3,668.63 : x
  2. Step 2: Convert to fraction form
    7,832.57/11,747.03 = 3,668.63/x
  3. Step 3: Cross multiply
    7,832.57x = 11,747.03 × 3,668.63
  4. Step 4: Simplify right side
    7,832.57x = 43,095,429.59
  5. Step 5: Solve for x
    x = 43,095,429.59/7,832.57
  6. Step 6: Final answer
    x = 5,502.08

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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.